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Finding the Fourth Proportional to 458,394.32, 687,589.44 and 142,851.44

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Solution

The fourth proportional to 458,394.32, 687,589.44 and 142,851.44 is: 214,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,394.32 : 687,589.44 = 142,851.44 : x
  2. Step 2: Convert to fraction form
    458,394.32/687,589.44 = 142,851.44/x
  3. Step 3: Cross multiply
    458,394.32x = 687,589.44 × 142,851.44
  4. Step 4: Simplify right side
    458,394.32x = 98,223,141,632.79
  5. Step 5: Solve for x
    x = 98,223,141,632.79/458,394.32
  6. Step 6: Final answer
    x = 214,276.52

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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.