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Finding the Fourth Proportional to 502,074.32, 692,689.36 and 320,892.30

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Solution

The fourth proportional to 502,074.32, 692,689.36 and 320,892.30 is: 442,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,074.32 : 692,689.36 = 320,892.30 : x
  2. Step 2: Convert to fraction form
    502,074.32/692,689.36 = 320,892.30/x
  3. Step 3: Cross multiply
    502,074.32x = 692,689.36 × 320,892.30
  4. Step 4: Simplify right side
    502,074.32x = 222,278,681,915.93
  5. Step 5: Solve for x
    x = 222,278,681,915.93/502,074.32
  6. Step 6: Final answer
    x = 442,720.68

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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.