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Finding the Fourth Proportional to 312,641.22, 431,446.86 and 169,402.31

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Solution

The fourth proportional to 312,641.22, 431,446.86 and 169,402.31 is: 233,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,641.22 : 431,446.86 = 169,402.31 : x
  2. Step 2: Convert to fraction form
    312,641.22/431,446.86 = 169,402.31/x
  3. Step 3: Cross multiply
    312,641.22x = 431,446.86 × 169,402.31
  4. Step 4: Simplify right side
    312,641.22x = 73,088,092,569.01
  5. Step 5: Solve for x
    x = 73,088,092,569.01/312,641.22
  6. Step 6: Final answer
    x = 233,776.25

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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.