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Finding the Fourth Proportional to 514,229.80, 771,438.30 and 177,318.76

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Solution

The fourth proportional to 514,229.80, 771,438.30 and 177,318.76 is: 266,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,229.80 : 771,438.30 = 177,318.76 : x
  2. Step 2: Convert to fraction form
    514,229.80/771,438.30 = 177,318.76/x
  3. Step 3: Cross multiply
    514,229.80x = 771,438.30 × 177,318.76
  4. Step 4: Simplify right side
    514,229.80x = 136,790,482,772.51
  5. Step 5: Solve for x
    x = 136,790,482,772.51/514,229.80
  6. Step 6: Final answer
    x = 266,010.42

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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.