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Finding the Fourth Proportional to 381,381.60, 571,813.20 and 144,688.80

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Solution

The fourth proportional to 381,381.60, 571,813.20 and 144,688.80 is: 216,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381.60 : 571,813.20 = 144,688.80 : x
  2. Step 2: Convert to fraction form
    381,381.60/571,813.20 = 144,688.80/x
  3. Step 3: Cross multiply
    381,381.60x = 571,813.20 × 144,688.80
  4. Step 4: Simplify right side
    381,381.60x = 82,734,965,732.16
  5. Step 5: Solve for x
    x = 82,734,965,732.16/381,381.60
  6. Step 6: Final answer
    x = 216,934.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.