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Finding the Fourth Proportional to 432,013.20, 648,019.80 and 412,330.20

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Solution

The fourth proportional to 432,013.20, 648,019.80 and 412,330.20 is: 618,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,013.20 : 648,019.80 = 412,330.20 : x
  2. Step 2: Convert to fraction form
    432,013.20/648,019.80 = 412,330.20/x
  3. Step 3: Cross multiply
    432,013.20x = 648,019.80 × 412,330.20
  4. Step 4: Simplify right side
    432,013.20x = 267,198,133,737.96
  5. Step 5: Solve for x
    x = 267,198,133,737.96/432,013.20
  6. Step 6: Final answer
    x = 618,495.30

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1.5x scale

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.