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Finding the Fourth Proportional to 458,187.20, 687,345.60 and 142,611.20

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Solution

The fourth proportional to 458,187.20, 687,345.60 and 142,611.20 is: 213,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,187.20 : 687,345.60 = 142,611.20 : x
  2. Step 2: Convert to fraction form
    458,187.20/687,345.60 = 142,611.20/x
  3. Step 3: Cross multiply
    458,187.20x = 687,345.60 × 142,611.20
  4. Step 4: Simplify right side
    458,187.20x = 98,023,180,830.72
  5. Step 5: Solve for x
    x = 98,023,180,830.72/458,187.20
  6. Step 6: Final answer
    x = 213,936.97

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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.