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Finding the Fourth Proportional to 408,717.35, 612,901.05 and 128,256.47

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Solution

The fourth proportional to 408,717.35, 612,901.05 and 128,256.47 is: 192,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,717.35 : 612,901.05 = 128,256.47 : x
  2. Step 2: Convert to fraction form
    408,717.35/612,901.05 = 128,256.47/x
  3. Step 3: Cross multiply
    408,717.35x = 612,901.05 × 128,256.47
  4. Step 4: Simplify right side
    408,717.35x = 78,608,525,132.29
  5. Step 5: Solve for x
    x = 78,608,525,132.29/408,717.35
  6. Step 6: Final answer
    x = 192,329.80

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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.