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Finding the Fourth Proportional to 432,006.40, 648,787.20 and 418,009.60

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Solution

The fourth proportional to 432,006.40, 648,787.20 and 418,009.60 is: 627,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,006.40 : 648,787.20 = 418,009.60 : x
  2. Step 2: Convert to fraction form
    432,006.40/648,787.20 = 418,009.60/x
  3. Step 3: Cross multiply
    432,006.40x = 648,787.20 × 418,009.60
  4. Step 4: Simplify right side
    432,006.40x = 271,199,277,957.12
  5. Step 5: Solve for x
    x = 271,199,277,957.12/432,006.40
  6. Step 6: Final answer
    x = 627,766.81

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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.