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Finding the Fourth Proportional to 288,713.44, 432,959.20 and 99,138.56

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Solution

The fourth proportional to 288,713.44, 432,959.20 and 99,138.56 is: 148,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,713.44 : 432,959.20 = 99,138.56 : x
  2. Step 2: Convert to fraction form
    288,713.44/432,959.20 = 99,138.56/x
  3. Step 3: Cross multiply
    288,713.44x = 432,959.20 × 99,138.56
  4. Step 4: Simplify right side
    288,713.44x = 42,922,951,626.75
  5. Step 5: Solve for x
    x = 42,922,951,626.75/288,713.44
  6. Step 6: Final answer
    x = 148,669.74

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1.5x scale

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.