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Finding the Fourth Proportional to 284,288.76, 392,318.24 and 156,965.14

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Solution

The fourth proportional to 284,288.76, 392,318.24 and 156,965.14 is: 216,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,288.76 : 392,318.24 = 156,965.14 : x
  2. Step 2: Convert to fraction form
    284,288.76/392,318.24 = 156,965.14/x
  3. Step 3: Cross multiply
    284,288.76x = 392,318.24 × 156,965.14
  4. Step 4: Simplify right side
    284,288.76x = 61,580,287,466.15
  5. Step 5: Solve for x
    x = 61,580,287,466.15/284,288.76
  6. Step 6: Final answer
    x = 216,611.76

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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.