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Finding the Fourth Proportional to 288,097.42, 397,526.87 and 160,772.70

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Solution

The fourth proportional to 288,097.42, 397,526.87 and 160,772.70 is: 221,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.42 : 397,526.87 = 160,772.70 : x
  2. Step 2: Convert to fraction form
    288,097.42/397,526.87 = 160,772.70/x
  3. Step 3: Cross multiply
    288,097.42x = 397,526.87 × 160,772.70
  4. Step 4: Simplify right side
    288,097.42x = 63,911,468,212.45
  5. Step 5: Solve for x
    x = 63,911,468,212.45/288,097.42
  6. Step 6: Final answer
    x = 221,839.78

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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.