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Finding the Fourth Proportional to 312,577.32, 431,355.30 and 169,337.72

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Solution

The fourth proportional to 312,577.32, 431,355.30 and 169,337.72 is: 233,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,577.32 : 431,355.30 = 169,337.72 : x
  2. Step 2: Convert to fraction form
    312,577.32/431,355.30 = 169,337.72/x
  3. Step 3: Cross multiply
    312,577.32x = 431,355.30 × 169,337.72
  4. Step 4: Simplify right side
    312,577.32x = 73,044,723,011.92
  5. Step 5: Solve for x
    x = 73,044,723,011.92/312,577.32
  6. Step 6: Final answer
    x = 233,685.29

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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.