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Finding the Fourth Proportional to 417,969.60, 627,223.20 and 231,115.20

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Solution

The fourth proportional to 417,969.60, 627,223.20 and 231,115.20 is: 346,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,969.60 : 627,223.20 = 231,115.20 : x
  2. Step 2: Convert to fraction form
    417,969.60/627,223.20 = 231,115.20/x
  3. Step 3: Cross multiply
    417,969.60x = 627,223.20 × 231,115.20
  4. Step 4: Simplify right side
    417,969.60x = 144,960,815,312.64
  5. Step 5: Solve for x
    x = 144,960,815,312.64/417,969.60
  6. Step 6: Final answer
    x = 346,821.43

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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.