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Finding the Fourth Proportional to 717,429, 989,965.32 and 411,489.60

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Solution

The fourth proportional to 717,429, 989,965.32 and 411,489.60 is: 567,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,429 : 989,965.32 = 411,489.60 : x
  2. Step 2: Convert to fraction form
    717,429/989,965.32 = 411,489.60/x
  3. Step 3: Cross multiply
    717,429x = 989,965.32 × 411,489.60
  4. Step 4: Simplify right side
    717,429x = 407,360,433,540.67
  5. Step 5: Solve for x
    x = 407,360,433,540.67/717,429
  6. Step 6: Final answer
    x = 567,805.92

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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.