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Finding the Fourth Proportional to 289,385.20, 434,077.80 and 99,845.20

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Solution

The fourth proportional to 289,385.20, 434,077.80 and 99,845.20 is: 149,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385.20 : 434,077.80 = 99,845.20 : x
  2. Step 2: Convert to fraction form
    289,385.20/434,077.80 = 99,845.20/x
  3. Step 3: Cross multiply
    289,385.20x = 434,077.80 × 99,845.20
  4. Step 4: Simplify right side
    289,385.20x = 43,340,584,756.56
  5. Step 5: Solve for x
    x = 43,340,584,756.56/289,385.20
  6. Step 6: Final answer
    x = 149,767.80

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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.