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Finding the Fourth Proportional to 289,255.38, 433,838.52 and 78,909.72

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Solution

The fourth proportional to 289,255.38, 433,838.52 and 78,909.72 is: 118,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,255.38 : 433,838.52 = 78,909.72 : x
  2. Step 2: Convert to fraction form
    289,255.38/433,838.52 = 78,909.72/x
  3. Step 3: Cross multiply
    289,255.38x = 433,838.52 × 78,909.72
  4. Step 4: Simplify right side
    289,255.38x = 34,234,076,138.41
  5. Step 5: Solve for x
    x = 34,234,076,138.41/289,255.38
  6. Step 6: Final answer
    x = 118,352.43

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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.