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Finding the Fourth Proportional to 284,158.80, 392,138.36 and 156,833.52

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Solution

The fourth proportional to 284,158.80, 392,138.36 and 156,833.52 is: 216,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,158.80 : 392,138.36 = 156,833.52 : x
  2. Step 2: Convert to fraction form
    284,158.80/392,138.36 = 156,833.52/x
  3. Step 3: Cross multiply
    284,158.80x = 392,138.36 × 156,833.52
  4. Step 4: Simplify right side
    284,158.80x = 61,500,439,325.83
  5. Step 5: Solve for x
    x = 61,500,439,325.83/284,158.80
  6. Step 6: Final answer
    x = 216,429.82

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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.