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Finding the Fourth Proportional to 432,001.70, 648,002.55 and 412,318.70

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Solution

The fourth proportional to 432,001.70, 648,002.55 and 412,318.70 is: 618,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,001.70 : 648,002.55 = 412,318.70 : x
  2. Step 2: Convert to fraction form
    432,001.70/648,002.55 = 412,318.70/x
  3. Step 3: Cross multiply
    432,001.70x = 648,002.55 × 412,318.70
  4. Step 4: Simplify right side
    432,001.70x = 267,183,569,012.69
  5. Step 5: Solve for x
    x = 267,183,569,012.69/432,001.70
  6. Step 6: Final answer
    x = 618,478.05

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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.