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Finding the Fourth Proportional to 458,146.60, 687,318.59 and 138,271.69

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Solution

The fourth proportional to 458,146.60, 687,318.59 and 138,271.69 is: 207,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,146.60 : 687,318.59 = 138,271.69 : x
  2. Step 2: Convert to fraction form
    458,146.60/687,318.59 = 138,271.69/x
  3. Step 3: Cross multiply
    458,146.60x = 687,318.59 × 138,271.69
  4. Step 4: Simplify right side
    458,146.60x = 95,036,701,635.10
  5. Step 5: Solve for x
    x = 95,036,701,635.10/458,146.60
  6. Step 6: Final answer
    x = 207,437.32

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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.