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Finding the Fourth Proportional to 288,891.52, 432,982.35 and 162,265.59

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Solution

The fourth proportional to 288,891.52, 432,982.35 and 162,265.59 is: 243,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,891.52 : 432,982.35 = 162,265.59 : x
  2. Step 2: Convert to fraction form
    288,891.52/432,982.35 = 162,265.59/x
  3. Step 3: Cross multiply
    288,891.52x = 432,982.35 × 162,265.59
  4. Step 4: Simplify right side
    288,891.52x = 70,258,135,149.90
  5. Step 5: Solve for x
    x = 70,258,135,149.90/288,891.52
  6. Step 6: Final answer
    x = 243,199.02

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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.