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Finding the Fourth Proportional to 412,630.68, 618,741.72 and 146,351.28

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Solution

The fourth proportional to 412,630.68, 618,741.72 and 146,351.28 is: 219,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,630.68 : 618,741.72 = 146,351.28 : x
  2. Step 2: Convert to fraction form
    412,630.68/618,741.72 = 146,351.28/x
  3. Step 3: Cross multiply
    412,630.68x = 618,741.72 × 146,351.28
  4. Step 4: Simplify right side
    412,630.68x = 90,553,642,711.40
  5. Step 5: Solve for x
    x = 90,553,642,711.40/412,630.68
  6. Step 6: Final answer
    x = 219,454.46

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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.