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Finding the Fourth Proportional to 458,101.62, 687,196.17 and 142,473.78

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Solution

The fourth proportional to 458,101.62, 687,196.17 and 142,473.78 is: 213,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,101.62 : 687,196.17 = 142,473.78 : x
  2. Step 2: Convert to fraction form
    458,101.62/687,196.17 = 142,473.78/x
  3. Step 3: Cross multiply
    458,101.62x = 687,196.17 × 142,473.78
  4. Step 4: Simplify right side
    458,101.62x = 97,907,435,941.42
  5. Step 5: Solve for x
    x = 97,907,435,941.42/458,101.62
  6. Step 6: Final answer
    x = 213,724.27

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1.5x scale

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.