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Finding the Fourth Proportional to 284,060.22, 392,002.29 and 156,734.70

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Solution

The fourth proportional to 284,060.22, 392,002.29 and 156,734.70 is: 216,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,060.22 : 392,002.29 = 156,734.70 : x
  2. Step 2: Convert to fraction form
    284,060.22/392,002.29 = 156,734.70/x
  3. Step 3: Cross multiply
    284,060.22x = 392,002.29 × 156,734.70
  4. Step 4: Simplify right side
    284,060.22x = 61,440,361,322.46
  5. Step 5: Solve for x
    x = 61,440,361,322.46/284,060.22
  6. Step 6: Final answer
    x = 216,293.44

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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.