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Finding the Fourth Proportional to 310,179.88, 465,270.02 and 99,817.76

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Solution

The fourth proportional to 310,179.88, 465,270.02 and 99,817.76 is: 149,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,179.88 : 465,270.02 = 99,817.76 : x
  2. Step 2: Convert to fraction form
    310,179.88/465,270.02 = 99,817.76/x
  3. Step 3: Cross multiply
    310,179.88x = 465,270.02 × 99,817.76
  4. Step 4: Simplify right side
    310,179.88x = 46,442,211,191.56
  5. Step 5: Solve for x
    x = 46,442,211,191.56/310,179.88
  6. Step 6: Final answer
    x = 149,726.70

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1.5x scale

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.