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Finding the Fourth Proportional to 458,816.60, 688,322.10 and 138,942.20

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Solution

The fourth proportional to 458,816.60, 688,322.10 and 138,942.20 is: 208,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,816.60 : 688,322.10 = 138,942.20 : x
  2. Step 2: Convert to fraction form
    458,816.60/688,322.10 = 138,942.20/x
  3. Step 3: Cross multiply
    458,816.60x = 688,322.10 × 138,942.20
  4. Step 4: Simplify right side
    458,816.60x = 95,636,986,882.62
  5. Step 5: Solve for x
    x = 95,636,986,882.62/458,816.60
  6. Step 6: Final answer
    x = 208,442.73

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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.