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Finding the Fourth Proportional to 398,456.88, 597,308.74 and 158,718.80

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Solution

The fourth proportional to 398,456.88, 597,308.74 and 158,718.80 is: 237,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,456.88 : 597,308.74 = 158,718.80 : x
  2. Step 2: Convert to fraction form
    398,456.88/597,308.74 = 158,718.80/x
  3. Step 3: Cross multiply
    398,456.88x = 597,308.74 × 158,718.80
  4. Step 4: Simplify right side
    398,456.88x = 94,804,126,442.31
  5. Step 5: Solve for x
    x = 94,804,126,442.31/398,456.88
  6. Step 6: Final answer
    x = 237,928.20

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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.