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Finding the Fourth Proportional to 501,511.78, 752,272.54 and 127,534.78

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Solution

The fourth proportional to 501,511.78, 752,272.54 and 127,534.78 is: 191,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,511.78 : 752,272.54 = 127,534.78 : x
  2. Step 2: Convert to fraction form
    501,511.78/752,272.54 = 127,534.78/x
  3. Step 3: Cross multiply
    501,511.78x = 752,272.54 × 127,534.78
  4. Step 4: Simplify right side
    501,511.78x = 95,940,912,888.94
  5. Step 5: Solve for x
    x = 95,940,912,888.94/501,511.78
  6. Step 6: Final answer
    x = 191,303.41

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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.