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Finding the Fourth Proportional to 315,583.74, 435,507.17 and 172,343.78

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Solution

The fourth proportional to 315,583.74, 435,507.17 and 172,343.78 is: 237,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,583.74 : 435,507.17 = 172,343.78 : x
  2. Step 2: Convert to fraction form
    315,583.74/435,507.17 = 172,343.78/x
  3. Step 3: Cross multiply
    315,583.74x = 435,507.17 × 172,343.78
  4. Step 4: Simplify right side
    315,583.74x = 75,056,950,488.80
  5. Step 5: Solve for x
    x = 75,056,950,488.80/315,583.74
  6. Step 6: Final answer
    x = 237,835.29

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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.