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Finding the Fourth Proportional to 514,539.68, 772,516.47 and 261,989.85

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Solution

The fourth proportional to 514,539.68, 772,516.47 and 261,989.85 is: 393,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,539.68 : 772,516.47 = 261,989.85 : x
  2. Step 2: Convert to fraction form
    514,539.68/772,516.47 = 261,989.85/x
  3. Step 3: Cross multiply
    514,539.68x = 772,516.47 × 261,989.85
  4. Step 4: Simplify right side
    514,539.68x = 202,391,474,097.83
  5. Step 5: Solve for x
    x = 202,391,474,097.83/514,539.68
  6. Step 6: Final answer
    x = 393,344.74

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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.