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Finding the Fourth Proportional to 465,115.78, 697,548.76 and 128,076.20

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Solution

The fourth proportional to 465,115.78, 697,548.76 and 128,076.20 is: 192,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,115.78 : 697,548.76 = 128,076.20 : x
  2. Step 2: Convert to fraction form
    465,115.78/697,548.76 = 128,076.20/x
  3. Step 3: Cross multiply
    465,115.78x = 697,548.76 × 128,076.20
  4. Step 4: Simplify right side
    465,115.78x = 89,339,390,687.58
  5. Step 5: Solve for x
    x = 89,339,390,687.58/465,115.78
  6. Step 6: Final answer
    x = 192,079.90

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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.