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Finding the Fourth Proportional to 284,134.86, 392,104.29 and 156,810.46

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Solution

The fourth proportional to 284,134.86, 392,104.29 and 156,810.46 is: 216,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,134.86 : 392,104.29 = 156,810.46 : x
  2. Step 2: Convert to fraction form
    284,134.86/392,104.29 = 156,810.46/x
  3. Step 3: Cross multiply
    284,134.86x = 392,104.29 × 156,810.46
  4. Step 4: Simplify right side
    284,134.86x = 61,486,054,082.87
  5. Step 5: Solve for x
    x = 61,486,054,082.87/284,134.86
  6. Step 6: Final answer
    x = 216,397.43

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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.