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Finding the Fourth Proportional to 310,398.72, 465,499.64 and 132,858.06

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Solution

The fourth proportional to 310,398.72, 465,499.64 and 132,858.06 is: 199,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,398.72 : 465,499.64 = 132,858.06 : x
  2. Step 2: Convert to fraction form
    310,398.72/465,499.64 = 132,858.06/x
  3. Step 3: Cross multiply
    310,398.72x = 465,499.64 × 132,858.06
  4. Step 4: Simplify right side
    310,398.72x = 61,845,377,687.62
  5. Step 5: Solve for x
    x = 61,845,377,687.62/310,398.72
  6. Step 6: Final answer
    x = 199,244.95

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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.