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Finding the Fourth Proportional to 284,060.15, 392,011.15 and 156,743.95

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Solution

The fourth proportional to 284,060.15, 392,011.15 and 156,743.95 is: 216,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,060.15 : 392,011.15 = 156,743.95 : x
  2. Step 2: Convert to fraction form
    284,060.15/392,011.15 = 156,743.95/x
  3. Step 3: Cross multiply
    284,060.15x = 392,011.15 × 156,743.95
  4. Step 4: Simplify right side
    284,060.15x = 61,445,374,134.99
  5. Step 5: Solve for x
    x = 61,445,374,134.99/284,060.15
  6. Step 6: Final answer
    x = 216,311.14

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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.