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Finding the Fourth Proportional to 412,158.10, 618,279.06 and 142,251.11

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Solution

The fourth proportional to 412,158.10, 618,279.06 and 142,251.11 is: 213,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,158.10 : 618,279.06 = 142,251.11 : x
  2. Step 2: Convert to fraction form
    412,158.10/618,279.06 = 142,251.11/x
  3. Step 3: Cross multiply
    412,158.10x = 618,279.06 × 142,251.11
  4. Step 4: Simplify right side
    412,158.10x = 87,950,882,574.76
  5. Step 5: Solve for x
    x = 87,950,882,574.76/412,158.10
  6. Step 6: Final answer
    x = 213,391.13

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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.