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Finding the Fourth Proportional to 288,577.20, 432,865.80 and 235,433.10

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Solution

The fourth proportional to 288,577.20, 432,865.80 and 235,433.10 is: 353,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,577.20 : 432,865.80 = 235,433.10 : x
  2. Step 2: Convert to fraction form
    288,577.20/432,865.80 = 235,433.10/x
  3. Step 3: Cross multiply
    288,577.20x = 432,865.80 × 235,433.10
  4. Step 4: Simplify right side
    288,577.20x = 101,910,937,177.98
  5. Step 5: Solve for x
    x = 101,910,937,177.98/288,577.20
  6. Step 6: Final answer
    x = 353,149.65

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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.