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Finding the Fourth Proportional to 310,641.46, 465,907.50 and 82,939.90

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Solution

The fourth proportional to 310,641.46, 465,907.50 and 82,939.90 is: 124,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,641.46 : 465,907.50 = 82,939.90 : x
  2. Step 2: Convert to fraction form
    310,641.46/465,907.50 = 82,939.90/x
  3. Step 3: Cross multiply
    310,641.46x = 465,907.50 × 82,939.90
  4. Step 4: Simplify right side
    310,641.46x = 38,642,321,459.25
  5. Step 5: Solve for x
    x = 38,642,321,459.25/310,641.46
  6. Step 6: Final answer
    x = 124,395.25

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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.