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Finding the Fourth Proportional to 289,589.40, 434,384.10 and 156,729.15

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Solution

The fourth proportional to 289,589.40, 434,384.10 and 156,729.15 is: 235,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,589.40 : 434,384.10 = 156,729.15 : x
  2. Step 2: Convert to fraction form
    289,589.40/434,384.10 = 156,729.15/x
  3. Step 3: Cross multiply
    289,589.40x = 434,384.10 × 156,729.15
  4. Step 4: Simplify right side
    289,589.40x = 68,080,650,766.52
  5. Step 5: Solve for x
    x = 68,080,650,766.52/289,589.40
  6. Step 6: Final answer
    x = 235,093.73

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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.