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Finding the Fourth Proportional to 289,702.56, 434,566.80 and 79,335.84

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Solution

The fourth proportional to 289,702.56, 434,566.80 and 79,335.84 is: 119,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,702.56 : 434,566.80 = 79,335.84 : x
  2. Step 2: Convert to fraction form
    289,702.56/434,566.80 = 79,335.84/x
  3. Step 3: Cross multiply
    289,702.56x = 434,566.80 × 79,335.84
  4. Step 4: Simplify right side
    289,702.56x = 34,476,722,114.11
  5. Step 5: Solve for x
    x = 34,476,722,114.11/289,702.56
  6. Step 6: Final answer
    x = 119,007.31

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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.