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Finding the Fourth Proportional to 412,264.60, 618,380.73 and 172,316.53

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Solution

The fourth proportional to 412,264.60, 618,380.73 and 172,316.53 is: 258,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,264.60 : 618,380.73 = 172,316.53 : x
  2. Step 2: Convert to fraction form
    412,264.60/618,380.73 = 172,316.53/x
  3. Step 3: Cross multiply
    412,264.60x = 618,380.73 × 172,316.53
  4. Step 4: Simplify right side
    412,264.60x = 106,557,221,612.47
  5. Step 5: Solve for x
    x = 106,557,221,612.47/412,264.60
  6. Step 6: Final answer
    x = 258,468.04

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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.