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Finding the Fourth Proportional to 285,358.22, 428,065.63 and 105,490.76

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Solution

The fourth proportional to 285,358.22, 428,065.63 and 105,490.76 is: 158,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,358.22 : 428,065.63 = 105,490.76 : x
  2. Step 2: Convert to fraction form
    285,358.22/428,065.63 = 105,490.76/x
  3. Step 3: Cross multiply
    285,358.22x = 428,065.63 × 105,490.76
  4. Step 4: Simplify right side
    285,358.22x = 45,156,969,445.02
  5. Step 5: Solve for x
    x = 45,156,969,445.02/285,358.22
  6. Step 6: Final answer
    x = 158,246.61

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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.