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Finding the Fourth Proportional to 285,863.58, 428,810.76 and 75,495.78

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Solution

The fourth proportional to 285,863.58, 428,810.76 and 75,495.78 is: 113,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,863.58 : 428,810.76 = 75,495.78 : x
  2. Step 2: Convert to fraction form
    285,863.58/428,810.76 = 75,495.78/x
  3. Step 3: Cross multiply
    285,863.58x = 428,810.76 × 75,495.78
  4. Step 4: Simplify right side
    285,863.58x = 32,373,402,798.59
  5. Step 5: Solve for x
    x = 32,373,402,798.59/285,863.58
  6. Step 6: Final answer
    x = 113,247.73

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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.