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Finding the Fourth Proportional to 609,112.80, 913,798.80 and 188,431.20

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Solution

The fourth proportional to 609,112.80, 913,798.80 and 188,431.20 is: 282,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,112.80 : 913,798.80 = 188,431.20 : x
  2. Step 2: Convert to fraction form
    609,112.80/913,798.80 = 188,431.20/x
  3. Step 3: Cross multiply
    609,112.80x = 913,798.80 × 188,431.20
  4. Step 4: Simplify right side
    609,112.80x = 172,188,204,442.56
  5. Step 5: Solve for x
    x = 172,188,204,442.56/609,112.80
  6. Step 6: Final answer
    x = 282,686.89

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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.