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Finding the Fourth Proportional to 721,736,724.61, 996,446,518.22 and 496,064,289.76

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Solution

The fourth proportional to 721,736,724.61, 996,446,518.22 and 496,064,289.76 is: 684,877,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,736,724.61 : 996,446,518.22 = 496,064,289.76 : x
  2. Step 2: Convert to fraction form
    721,736,724.61/996,446,518.22 = 496,064,289.76/x
  3. Step 3: Cross multiply
    721,736,724.61x = 996,446,518.22 × 496,064,289.76
  4. Step 4: Simplify right side
    721,736,724.61x = 494,301,534,344,629,184
  5. Step 5: Solve for x
    x = 494,301,534,344,629,184/721,736,724.61
  6. Step 6: Final answer
    x = 684,877,902.83

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.