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Finding the Fourth Proportional to 312,672.80, 431,490.53 and 169,434.02

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Solution

The fourth proportional to 312,672.80, 431,490.53 and 169,434.02 is: 233,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,672.80 : 431,490.53 = 169,434.02 : x
  2. Step 2: Convert to fraction form
    312,672.80/431,490.53 = 169,434.02/x
  3. Step 3: Cross multiply
    312,672.80x = 431,490.53 × 169,434.02
  4. Step 4: Simplify right side
    312,672.80x = 73,109,175,089.83
  5. Step 5: Solve for x
    x = 73,109,175,089.83/312,672.80
  6. Step 6: Final answer
    x = 233,820.07

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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.