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Finding the Fourth Proportional to 284,212.97, 392,217.05 and 156,888.71

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Solution

The fourth proportional to 284,212.97, 392,217.05 and 156,888.71 is: 216,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,212.97 : 392,217.05 = 156,888.71 : x
  2. Step 2: Convert to fraction form
    284,212.97/392,217.05 = 156,888.71/x
  3. Step 3: Cross multiply
    284,212.97x = 392,217.05 × 156,888.71
  4. Step 4: Simplify right side
    284,212.97x = 61,534,426,230.06
  5. Step 5: Solve for x
    x = 61,534,426,230.06/284,212.97
  6. Step 6: Final answer
    x = 216,508.16

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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.