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Finding the Fourth Proportional to 288,147.76, 432,221.16 and 160,145.48

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Solution

The fourth proportional to 288,147.76, 432,221.16 and 160,145.48 is: 240,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,147.76 : 432,221.16 = 160,145.48 : x
  2. Step 2: Convert to fraction form
    288,147.76/432,221.16 = 160,145.48/x
  3. Step 3: Cross multiply
    288,147.76x = 432,221.16 × 160,145.48
  4. Step 4: Simplify right side
    288,147.76x = 69,218,265,134.36
  5. Step 5: Solve for x
    x = 69,218,265,134.36/288,147.76
  6. Step 6: Final answer
    x = 240,217.95

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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.