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Finding the Fourth Proportional to 284,212.43, 392,215.89 and 156,885.29

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Solution

The fourth proportional to 284,212.43, 392,215.89 and 156,885.29 is: 216,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,212.43 : 392,215.89 = 156,885.29 : x
  2. Step 2: Convert to fraction form
    284,212.43/392,215.89 = 156,885.29/x
  3. Step 3: Cross multiply
    284,212.43x = 392,215.89 × 156,885.29
  4. Step 4: Simplify right side
    284,212.43x = 61,532,903,645.26
  5. Step 5: Solve for x
    x = 61,532,903,645.26/284,212.43
  6. Step 6: Final answer
    x = 216,503.21

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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.