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Finding the Fourth Proportional to 515,231.96, 772,182.72 and 230,714.19

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Solution

The fourth proportional to 515,231.96, 772,182.72 and 230,714.19 is: 345,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,231.96 : 772,182.72 = 230,714.19 : x
  2. Step 2: Convert to fraction form
    515,231.96/772,182.72 = 230,714.19/x
  3. Step 3: Cross multiply
    515,231.96x = 772,182.72 × 230,714.19
  4. Step 4: Simplify right side
    515,231.96x = 178,153,510,776.80
  5. Step 5: Solve for x
    x = 178,153,510,776.80/515,231.96
  6. Step 6: Final answer
    x = 345,773.41

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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.