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Finding the Fourth Proportional to 288,568.80, 398,218.00 and 157,740.64

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Solution

The fourth proportional to 288,568.80, 398,218.00 and 157,740.64 is: 217,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,568.80 : 398,218.00 = 157,740.64 : x
  2. Step 2: Convert to fraction form
    288,568.80/398,218.00 = 157,740.64/x
  3. Step 3: Cross multiply
    288,568.80x = 398,218.00 × 157,740.64
  4. Step 4: Simplify right side
    288,568.80x = 62,815,161,761.73
  5. Step 5: Solve for x
    x = 62,815,161,761.73/288,568.80
  6. Step 6: Final answer
    x = 217,678.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.