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Finding the Fourth Proportional to 511,407.38, 767,141.82 and 156,424.47

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Solution

The fourth proportional to 511,407.38, 767,141.82 and 156,424.47 is: 234,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,407.38 : 767,141.82 = 156,424.47 : x
  2. Step 2: Convert to fraction form
    511,407.38/767,141.82 = 156,424.47/x
  3. Step 3: Cross multiply
    511,407.38x = 767,141.82 × 156,424.47
  4. Step 4: Simplify right side
    511,407.38x = 119,999,752,021.74
  5. Step 5: Solve for x
    x = 119,999,752,021.74/511,407.38
  6. Step 6: Final answer
    x = 234,646.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.