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Finding the Fourth Proportional to 284,294.80, 392,332.94 and 156,978.44

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Solution

The fourth proportional to 284,294.80, 392,332.94 and 156,978.44 is: 216,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,294.80 : 392,332.94 = 156,978.44 : x
  2. Step 2: Convert to fraction form
    284,294.80/392,332.94 = 156,978.44/x
  3. Step 3: Cross multiply
    284,294.80x = 392,332.94 × 156,978.44
  4. Step 4: Simplify right side
    284,294.80x = 61,587,812,881.81
  5. Step 5: Solve for x
    x = 61,587,812,881.81/284,294.80
  6. Step 6: Final answer
    x = 216,633.62

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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.