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Finding the Fourth Proportional to 723,784.32, 998,861.76 and 469,353.60

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Solution

The fourth proportional to 723,784.32, 998,861.76 and 469,353.60 is: 647,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,784.32 : 998,861.76 = 469,353.60 : x
  2. Step 2: Convert to fraction form
    723,784.32/998,861.76 = 469,353.60/x
  3. Step 3: Cross multiply
    723,784.32x = 998,861.76 × 469,353.60
  4. Step 4: Simplify right side
    723,784.32x = 468,819,362,958.34
  5. Step 5: Solve for x
    x = 468,819,362,958.34/723,784.32
  6. Step 6: Final answer
    x = 647,733.52

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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.