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Finding the Fourth Proportional to 432,515.20, 648,772.80 and 412,832.20

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Solution

The fourth proportional to 432,515.20, 648,772.80 and 412,832.20 is: 619,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,515.20 : 648,772.80 = 412,832.20 : x
  2. Step 2: Convert to fraction form
    432,515.20/648,772.80 = 412,832.20/x
  3. Step 3: Cross multiply
    432,515.20x = 648,772.80 × 412,832.20
  4. Step 4: Simplify right side
    432,515.20x = 267,834,302,324.16
  5. Step 5: Solve for x
    x = 267,834,302,324.16/432,515.20
  6. Step 6: Final answer
    x = 619,248.30

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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.