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Finding the Fourth Proportional to 512,688.60, 769,032.90 and 138,711.60

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Solution

The fourth proportional to 512,688.60, 769,032.90 and 138,711.60 is: 208,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,688.60 : 769,032.90 = 138,711.60 : x
  2. Step 2: Convert to fraction form
    512,688.60/769,032.90 = 138,711.60/x
  3. Step 3: Cross multiply
    512,688.60x = 769,032.90 × 138,711.60
  4. Step 4: Simplify right side
    512,688.60x = 106,673,784,011.64
  5. Step 5: Solve for x
    x = 106,673,784,011.64/512,688.60
  6. Step 6: Final answer
    x = 208,067.40

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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.