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Finding the Fourth Proportional to 284,135.87, 392,105.67 and 156,811.46

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Solution

The fourth proportional to 284,135.87, 392,105.67 and 156,811.46 is: 216,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,135.87 : 392,105.67 = 156,811.46 : x
  2. Step 2: Convert to fraction form
    284,135.87/392,105.67 = 156,811.46/x
  3. Step 3: Cross multiply
    284,135.87x = 392,105.67 × 156,811.46
  4. Step 4: Simplify right side
    284,135.87x = 61,486,662,586.98
  5. Step 5: Solve for x
    x = 61,486,662,586.98/284,135.87
  6. Step 6: Final answer
    x = 216,398.80

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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.