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Finding the Fourth Proportional to 465,882.36, 698,839.07 and 128,894.78

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Solution

The fourth proportional to 465,882.36, 698,839.07 and 128,894.78 is: 193,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,882.36 : 698,839.07 = 128,894.78 : x
  2. Step 2: Convert to fraction form
    465,882.36/698,839.07 = 128,894.78/x
  3. Step 3: Cross multiply
    465,882.36x = 698,839.07 × 128,894.78
  4. Step 4: Simplify right side
    465,882.36x = 90,076,704,044.39
  5. Step 5: Solve for x
    x = 90,076,704,044.39/465,882.36
  6. Step 6: Final answer
    x = 193,346.46

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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.