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Finding the Fourth Proportional to 412,316.10, 618,474.15 and 146,103.53

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Solution

The fourth proportional to 412,316.10, 618,474.15 and 146,103.53 is: 219,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,316.10 : 618,474.15 = 146,103.53 : x
  2. Step 2: Convert to fraction form
    412,316.10/618,474.15 = 146,103.53/x
  3. Step 3: Cross multiply
    412,316.10x = 618,474.15 × 146,103.53
  4. Step 4: Simplify right side
    412,316.10x = 90,361,253,436.38
  5. Step 5: Solve for x
    x = 90,361,253,436.38/412,316.10
  6. Step 6: Final answer
    x = 219,155.29

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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.