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Finding the Fourth Proportional to 285,947.58, 428,924.46 and 86,269.70

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Solution

The fourth proportional to 285,947.58, 428,924.46 and 86,269.70 is: 129,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,947.58 : 428,924.46 = 86,269.70 : x
  2. Step 2: Convert to fraction form
    285,947.58/428,924.46 = 86,269.70/x
  3. Step 3: Cross multiply
    285,947.58x = 428,924.46 × 86,269.70
  4. Step 4: Simplify right side
    285,947.58x = 37,003,184,486.86
  5. Step 5: Solve for x
    x = 37,003,184,486.86/285,947.58
  6. Step 6: Final answer
    x = 129,405.48

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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.