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Finding the Fourth Proportional to 343,963.40, 515,419.07 and 144,174.87

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Solution

The fourth proportional to 343,963.40, 515,419.07 and 144,174.87 is: 216,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,963.40 : 515,419.07 = 144,174.87 : x
  2. Step 2: Convert to fraction form
    343,963.40/515,419.07 = 144,174.87/x
  3. Step 3: Cross multiply
    343,963.40x = 515,419.07 × 144,174.87
  4. Step 4: Simplify right side
    343,963.40x = 74,310,476,691.90
  5. Step 5: Solve for x
    x = 74,310,476,691.90/343,963.40
  6. Step 6: Final answer
    x = 216,041.82

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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.