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Finding the Fourth Proportional to 523,077.84, 721,840.68 and 308,226.96

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Solution

The fourth proportional to 523,077.84, 721,840.68 and 308,226.96 is: 425,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,077.84 : 721,840.68 = 308,226.96 : x
  2. Step 2: Convert to fraction form
    523,077.84/721,840.68 = 308,226.96/x
  3. Step 3: Cross multiply
    523,077.84x = 721,840.68 × 308,226.96
  4. Step 4: Simplify right side
    523,077.84x = 222,490,758,400.73
  5. Step 5: Solve for x
    x = 222,490,758,400.73/523,077.84
  6. Step 6: Final answer
    x = 425,349.23

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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.