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Finding the Fourth Proportional to 288,002.62, 397,453.16 and 157,187.42

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Solution

The fourth proportional to 288,002.62, 397,453.16 and 157,187.42 is: 216,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.62 : 397,453.16 = 157,187.42 : x
  2. Step 2: Convert to fraction form
    288,002.62/397,453.16 = 157,187.42/x
  3. Step 3: Cross multiply
    288,002.62x = 397,453.16 × 157,187.42
  4. Step 4: Simplify right side
    288,002.62x = 62,474,636,791.25
  5. Step 5: Solve for x
    x = 62,474,636,791.25/288,002.62
  6. Step 6: Final answer
    x = 216,923.85

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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.