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Finding the Fourth Proportional to 285,788.66, 428,339.14 and 105,730.52

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Solution

The fourth proportional to 285,788.66, 428,339.14 and 105,730.52 is: 158,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,788.66 : 428,339.14 = 105,730.52 : x
  2. Step 2: Convert to fraction form
    285,788.66/428,339.14 = 105,730.52/x
  3. Step 3: Cross multiply
    285,788.66x = 428,339.14 × 105,730.52
  4. Step 4: Simplify right side
    285,788.66x = 45,288,517,602.53
  5. Step 5: Solve for x
    x = 45,288,517,602.53/285,788.66
  6. Step 6: Final answer
    x = 158,468.56

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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.