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Finding the Fourth Proportional to 315,871.76, 435,902 and 172,631.76

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Solution

The fourth proportional to 315,871.76, 435,902 and 172,631.76 is: 238,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,871.76 : 435,902 = 172,631.76 : x
  2. Step 2: Convert to fraction form
    315,871.76/435,902 = 172,631.76/x
  3. Step 3: Cross multiply
    315,871.76x = 435,902 × 172,631.76
  4. Step 4: Simplify right side
    315,871.76x = 75,250,529,447.52
  5. Step 5: Solve for x
    x = 75,250,529,447.52/315,871.76
  6. Step 6: Final answer
    x = 238,231.27

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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.