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Finding the Fourth Proportional to 288,659.10, 432,998.55 and 88,977.90

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Solution

The fourth proportional to 288,659.10, 432,998.55 and 88,977.90 is: 133,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,659.10 : 432,998.55 = 88,977.90 : x
  2. Step 2: Convert to fraction form
    288,659.10/432,998.55 = 88,977.90/x
  3. Step 3: Cross multiply
    288,659.10x = 432,998.55 × 88,977.90
  4. Step 4: Simplify right side
    288,659.10x = 38,527,301,682.05
  5. Step 5: Solve for x
    x = 38,527,301,682.05/288,659.10
  6. Step 6: Final answer
    x = 133,469.90

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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.