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Finding the Fourth Proportional to 305,006.65, 420,897.72 and 169,042.91

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Solution

The fourth proportional to 305,006.65, 420,897.72 and 169,042.91 is: 233,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,006.65 : 420,897.72 = 169,042.91 : x
  2. Step 2: Convert to fraction form
    305,006.65/420,897.72 = 169,042.91/x
  3. Step 3: Cross multiply
    305,006.65x = 420,897.72 × 169,042.91
  4. Step 4: Simplify right side
    305,006.65x = 71,149,775,939.16
  5. Step 5: Solve for x
    x = 71,149,775,939.16/305,006.65
  6. Step 6: Final answer
    x = 233,272.87

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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.