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Finding the Fourth Proportional to 285,177.45, 427,743.90 and 74,809.92

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Solution

The fourth proportional to 285,177.45, 427,743.90 and 74,809.92 is: 112,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,177.45 : 427,743.90 = 74,809.92 : x
  2. Step 2: Convert to fraction form
    285,177.45/427,743.90 = 74,809.92/x
  3. Step 3: Cross multiply
    285,177.45x = 427,743.90 × 74,809.92
  4. Step 4: Simplify right side
    285,177.45x = 31,999,486,939.49
  5. Step 5: Solve for x
    x = 31,999,486,939.49/285,177.45
  6. Step 6: Final answer
    x = 112,209.04

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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.