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Finding the Fourth Proportional to 432,005.40, 648,785.70 and 418,008.60

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Solution

The fourth proportional to 432,005.40, 648,785.70 and 418,008.60 is: 627,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.40 : 648,785.70 = 418,008.60 : x
  2. Step 2: Convert to fraction form
    432,005.40/648,785.70 = 418,008.60/x
  3. Step 3: Cross multiply
    432,005.40x = 648,785.70 × 418,008.60
  4. Step 4: Simplify right side
    432,005.40x = 271,198,002,157.02
  5. Step 5: Solve for x
    x = 271,198,002,157.02/432,005.40
  6. Step 6: Final answer
    x = 627,765.31

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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.