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Finding the Fourth Proportional to 310,171.73, 428,037.08 and 174,205.87

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Solution

The fourth proportional to 310,171.73, 428,037.08 and 174,205.87 is: 240,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,171.73 : 428,037.08 = 174,205.87 : x
  2. Step 2: Convert to fraction form
    310,171.73/428,037.08 = 174,205.87/x
  3. Step 3: Cross multiply
    310,171.73x = 428,037.08 × 174,205.87
  4. Step 4: Simplify right side
    310,171.73x = 74,566,569,972.54
  5. Step 5: Solve for x
    x = 74,566,569,972.54/310,171.73
  6. Step 6: Final answer
    x = 240,404.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.