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Finding the Fourth Proportional to 288,375.28, 432,574.81 and 98,965.79

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Solution

The fourth proportional to 288,375.28, 432,574.81 and 98,965.79 is: 148,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,375.28 : 432,574.81 = 98,965.79 : x
  2. Step 2: Convert to fraction form
    288,375.28/432,574.81 = 98,965.79/x
  3. Step 3: Cross multiply
    288,375.28x = 432,574.81 × 98,965.79
  4. Step 4: Simplify right side
    288,375.28x = 42,810,107,805.75
  5. Step 5: Solve for x
    x = 42,810,107,805.75/288,375.28
  6. Step 6: Final answer
    x = 148,452.77

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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.