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Finding the Fourth Proportional to 653,915.32, 902,374.34 and 382,008.44

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Solution

The fourth proportional to 653,915.32, 902,374.34 and 382,008.44 is: 527,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,915.32 : 902,374.34 = 382,008.44 : x
  2. Step 2: Convert to fraction form
    653,915.32/902,374.34 = 382,008.44/x
  3. Step 3: Cross multiply
    653,915.32x = 902,374.34 × 382,008.44
  4. Step 4: Simplify right side
    653,915.32x = 344,714,613,919.43
  5. Step 5: Solve for x
    x = 344,714,613,919.43/653,915.32
  6. Step 6: Final answer
    x = 527,154.82

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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.