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Finding the Fourth Proportional to 315,343.80, 435,175.65 and 172,107

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Solution

The fourth proportional to 315,343.80, 435,175.65 and 172,107 is: 237,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,343.80 : 435,175.65 = 172,107 : x
  2. Step 2: Convert to fraction form
    315,343.80/435,175.65 = 172,107/x
  3. Step 3: Cross multiply
    315,343.80x = 435,175.65 × 172,107
  4. Step 4: Simplify right side
    315,343.80x = 74,896,775,594.55
  5. Step 5: Solve for x
    x = 74,896,775,594.55/315,343.80
  6. Step 6: Final answer
    x = 237,508.32

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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.