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Finding the Fourth Proportional to 285,506.10, 428,226 and 75,160.44

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Solution

The fourth proportional to 285,506.10, 428,226 and 75,160.44 is: 112,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,506.10 : 428,226 = 75,160.44 : x
  2. Step 2: Convert to fraction form
    285,506.10/428,226 = 75,160.44/x
  3. Step 3: Cross multiply
    285,506.10x = 428,226 × 75,160.44
  4. Step 4: Simplify right side
    285,506.10x = 32,185,654,579.44
  5. Step 5: Solve for x
    x = 32,185,654,579.44/285,506.10
  6. Step 6: Final answer
    x = 112,731.93

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1.5x scale

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.