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Finding the Fourth Proportional to 289,680.02, 434,520.39 and 79,319.78

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Solution

The fourth proportional to 289,680.02, 434,520.39 and 79,319.78 is: 118,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680.02 : 434,520.39 = 79,319.78 : x
  2. Step 2: Convert to fraction form
    289,680.02/434,520.39 = 79,319.78/x
  3. Step 3: Cross multiply
    289,680.02x = 434,520.39 × 79,319.78
  4. Step 4: Simplify right side
    289,680.02x = 34,466,061,740.31
  5. Step 5: Solve for x
    x = 34,466,061,740.31/289,680.02
  6. Step 6: Final answer
    x = 118,979.77

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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.