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Finding the Fourth Proportional to 288,489.52, 432,734.28 and 111,080.08

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Solution

The fourth proportional to 288,489.52, 432,734.28 and 111,080.08 is: 166,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,489.52 : 432,734.28 = 111,080.08 : x
  2. Step 2: Convert to fraction form
    288,489.52/432,734.28 = 111,080.08/x
  3. Step 3: Cross multiply
    288,489.52x = 432,734.28 × 111,080.08
  4. Step 4: Simplify right side
    288,489.52x = 48,068,158,441.14
  5. Step 5: Solve for x
    x = 48,068,158,441.14/288,489.52
  6. Step 6: Final answer
    x = 166,620.12

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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.