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Finding the Fourth Proportional to 514,230.80, 771,439.80 and 177,319.76

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Solution

The fourth proportional to 514,230.80, 771,439.80 and 177,319.76 is: 266,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,230.80 : 771,439.80 = 177,319.76 : x
  2. Step 2: Convert to fraction form
    514,230.80/771,439.80 = 177,319.76/x
  3. Step 3: Cross multiply
    514,230.80x = 771,439.80 × 177,319.76
  4. Step 4: Simplify right side
    514,230.80x = 136,791,520,190.45
  5. Step 5: Solve for x
    x = 136,791,520,190.45/514,230.80
  6. Step 6: Final answer
    x = 266,011.92

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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.