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Finding the Fourth Proportional to 312,510.27, 431,264.30 and 169,269.87

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Solution

The fourth proportional to 312,510.27, 431,264.30 and 169,269.87 is: 233,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,510.27 : 431,264.30 = 169,269.87 : x
  2. Step 2: Convert to fraction form
    312,510.27/431,264.30 = 169,269.87/x
  3. Step 3: Cross multiply
    312,510.27x = 431,264.30 × 169,269.87
  4. Step 4: Simplify right side
    312,510.27x = 73,000,051,150.29
  5. Step 5: Solve for x
    x = 73,000,051,150.29/312,510.27
  6. Step 6: Final answer
    x = 233,592.49

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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.