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Finding the Fourth Proportional to 431,787.60, 648,005.40 and 221,317.20

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Solution

The fourth proportional to 431,787.60, 648,005.40 and 221,317.20 is: 332,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,787.60 : 648,005.40 = 221,317.20 : x
  2. Step 2: Convert to fraction form
    431,787.60/648,005.40 = 221,317.20/x
  3. Step 3: Cross multiply
    431,787.60x = 648,005.40 × 221,317.20
  4. Step 4: Simplify right side
    431,787.60x = 143,414,740,712.88
  5. Step 5: Solve for x
    x = 143,414,740,712.88/431,787.60
  6. Step 6: Final answer
    x = 332,141.87

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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.