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Finding the Fourth Proportional to 285,744.08, 428,201.40 and 160,818.32

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Solution

The fourth proportional to 285,744.08, 428,201.40 and 160,818.32 is: 240,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744.08 : 428,201.40 = 160,818.32 : x
  2. Step 2: Convert to fraction form
    285,744.08/428,201.40 = 160,818.32/x
  3. Step 3: Cross multiply
    285,744.08x = 428,201.40 × 160,818.32
  4. Step 4: Simplify right side
    285,744.08x = 68,862,629,769.65
  5. Step 5: Solve for x
    x = 68,862,629,769.65/285,744.08
  6. Step 6: Final answer
    x = 240,994.07

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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.