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Finding the Fourth Proportional to 398,271.88, 597,422.34 and 132,055.66

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Solution

The fourth proportional to 398,271.88, 597,422.34 and 132,055.66 is: 198,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,271.88 : 597,422.34 = 132,055.66 : x
  2. Step 2: Convert to fraction form
    398,271.88/597,422.34 = 132,055.66/x
  3. Step 3: Cross multiply
    398,271.88x = 597,422.34 × 132,055.66
  4. Step 4: Simplify right side
    398,271.88x = 78,893,001,407.44
  5. Step 5: Solve for x
    x = 78,893,001,407.44/398,271.88
  6. Step 6: Final answer
    x = 198,088.30

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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.