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Finding the Fourth Proportional to 315,638.04, 435,578.28 and 172,398.12

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Solution

The fourth proportional to 315,638.04, 435,578.28 and 172,398.12 is: 237,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,638.04 : 435,578.28 = 172,398.12 : x
  2. Step 2: Convert to fraction form
    315,638.04/435,578.28 = 172,398.12/x
  3. Step 3: Cross multiply
    315,638.04x = 435,578.28 × 172,398.12
  4. Step 4: Simplify right side
    315,638.04x = 75,092,876,584.83
  5. Step 5: Solve for x
    x = 75,092,876,584.83/315,638.04
  6. Step 6: Final answer
    x = 237,908.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.