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Finding the Fourth Proportional to 312,663.60, 468,995.40 and 135,046.80

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Solution

The fourth proportional to 312,663.60, 468,995.40 and 135,046.80 is: 202,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,663.60 : 468,995.40 = 135,046.80 : x
  2. Step 2: Convert to fraction form
    312,663.60/468,995.40 = 135,046.80/x
  3. Step 3: Cross multiply
    312,663.60x = 468,995.40 × 135,046.80
  4. Step 4: Simplify right side
    312,663.60x = 63,336,327,984.72
  5. Step 5: Solve for x
    x = 63,336,327,984.72/312,663.60
  6. Step 6: Final answer
    x = 202,570.20

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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.