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Finding the Fourth Proportional to 514,468.92, 771,425.04 and 408,534.42

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Solution

The fourth proportional to 514,468.92, 771,425.04 and 408,534.42 is: 612,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,468.92 : 771,425.04 = 408,534.42 : x
  2. Step 2: Convert to fraction form
    514,468.92/771,425.04 = 408,534.42/x
  3. Step 3: Cross multiply
    514,468.92x = 771,425.04 × 408,534.42
  4. Step 4: Simplify right side
    514,468.92x = 315,153,681,289.88
  5. Step 5: Solve for x
    x = 315,153,681,289.88/514,468.92
  6. Step 6: Final answer
    x = 612,580.60

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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.