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Finding the Fourth Proportional to 285,402.20, 428,123.30 and 114,623.93

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Solution

The fourth proportional to 285,402.20, 428,123.30 and 114,623.93 is: 171,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,402.20 : 428,123.30 = 114,623.93 : x
  2. Step 2: Convert to fraction form
    285,402.20/428,123.30 = 114,623.93/x
  3. Step 3: Cross multiply
    285,402.20x = 428,123.30 × 114,623.93
  4. Step 4: Simplify right side
    285,402.20x = 49,073,175,170.57
  5. Step 5: Solve for x
    x = 49,073,175,170.57/285,402.20
  6. Step 6: Final answer
    x = 171,943.93

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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.