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Finding the Fourth Proportional to 285,596.20, 428,272.86 and 117,000.04

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Solution

The fourth proportional to 285,596.20, 428,272.86 and 117,000.04 is: 175,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,596.20 : 428,272.86 = 117,000.04 : x
  2. Step 2: Convert to fraction form
    285,596.20/428,272.86 = 117,000.04/x
  3. Step 3: Cross multiply
    285,596.20x = 428,272.86 × 117,000.04
  4. Step 4: Simplify right side
    285,596.20x = 50,107,941,750.91
  5. Step 5: Solve for x
    x = 50,107,941,750.91/285,596.20
  6. Step 6: Final answer
    x = 175,450.31

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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.