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Finding the Fourth Proportional to 487,408.30, 731,112.45 and 155,017.90

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Solution

The fourth proportional to 487,408.30, 731,112.45 and 155,017.90 is: 232,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,408.30 : 731,112.45 = 155,017.90 : x
  2. Step 2: Convert to fraction form
    487,408.30/731,112.45 = 155,017.90/x
  3. Step 3: Cross multiply
    487,408.30x = 731,112.45 × 155,017.90
  4. Step 4: Simplify right side
    487,408.30x = 113,335,516,662.86
  5. Step 5: Solve for x
    x = 113,335,516,662.86/487,408.30
  6. Step 6: Final answer
    x = 232,526.85

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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.