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Finding the Fourth Proportional to 312,593.83, 431,381.55 and 169,353.87

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Solution

The fourth proportional to 312,593.83, 431,381.55 and 169,353.87 is: 233,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,593.83 : 431,381.55 = 169,353.87 : x
  2. Step 2: Convert to fraction form
    312,593.83/431,381.55 = 169,353.87/x
  3. Step 3: Cross multiply
    312,593.83x = 431,381.55 × 169,353.87
  4. Step 4: Simplify right side
    312,593.83x = 73,056,134,939.10
  5. Step 5: Solve for x
    x = 73,056,134,939.10/312,593.83
  6. Step 6: Final answer
    x = 233,709.46

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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.