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Finding the Fourth Proportional to 398,200.80, 597,301.20 and 117,718.05

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Solution

The fourth proportional to 398,200.80, 597,301.20 and 117,718.05 is: 176,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,200.80 : 597,301.20 = 117,718.05 : x
  2. Step 2: Convert to fraction form
    398,200.80/597,301.20 = 117,718.05/x
  3. Step 3: Cross multiply
    398,200.80x = 597,301.20 × 117,718.05
  4. Step 4: Simplify right side
    398,200.80x = 70,313,132,526.66
  5. Step 5: Solve for x
    x = 70,313,132,526.66/398,200.80
  6. Step 6: Final answer
    x = 176,577.08

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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.