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Finding the Fourth Proportional to 288,001.62, 397,451.78 and 157,186.42

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Solution

The fourth proportional to 288,001.62, 397,451.78 and 157,186.42 is: 216,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.62 : 397,451.78 = 157,186.42 : x
  2. Step 2: Convert to fraction form
    288,001.62/397,451.78 = 157,186.42/x
  3. Step 3: Cross multiply
    288,001.62x = 397,451.78 × 157,186.42
  4. Step 4: Simplify right side
    288,001.62x = 62,474,022,420.83
  5. Step 5: Solve for x
    x = 62,474,022,420.83/288,001.62
  6. Step 6: Final answer
    x = 216,922.47

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1.5x scale

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.