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Finding the Fourth Proportional to 487,378.92, 731,078.40 and 150,419.77

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Solution

The fourth proportional to 487,378.92, 731,078.40 and 150,419.77 is: 225,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,378.92 : 731,078.40 = 150,419.77 : x
  2. Step 2: Convert to fraction form
    487,378.92/731,078.40 = 150,419.77/x
  3. Step 3: Cross multiply
    487,378.92x = 731,078.40 × 150,419.77
  4. Step 4: Simplify right side
    487,378.92x = 109,968,644,779.97
  5. Step 5: Solve for x
    x = 109,968,644,779.97/487,378.92
  6. Step 6: Final answer
    x = 225,632.75

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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.