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Finding the Fourth Proportional to 412,331.40, 618,302.16 and 159,730.20

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Solution

The fourth proportional to 412,331.40, 618,302.16 and 159,730.20 is: 239,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,331.40 : 618,302.16 = 159,730.20 : x
  2. Step 2: Convert to fraction form
    412,331.40/618,302.16 = 159,730.20/x
  3. Step 3: Cross multiply
    412,331.40x = 618,302.16 × 159,730.20
  4. Step 4: Simplify right side
    412,331.40x = 98,761,527,677.23
  5. Step 5: Solve for x
    x = 98,761,527,677.23/412,331.40
  6. Step 6: Final answer
    x = 239,519.78

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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.