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Finding the Fourth Proportional to 288,583.85, 432,642.29 and 120,230.72

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Solution

The fourth proportional to 288,583.85, 432,642.29 and 120,230.72 is: 180,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,583.85 : 432,642.29 = 120,230.72 : x
  2. Step 2: Convert to fraction form
    288,583.85/432,642.29 = 120,230.72/x
  3. Step 3: Cross multiply
    288,583.85x = 432,642.29 × 120,230.72
  4. Step 4: Simplify right side
    288,583.85x = 52,016,891,264.78
  5. Step 5: Solve for x
    x = 52,016,891,264.78/288,583.85
  6. Step 6: Final answer
    x = 180,248.80

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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.