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Finding the Fourth Proportional to 276,602.13, 414,640.76 and 99,017.73

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Solution

The fourth proportional to 276,602.13, 414,640.76 and 99,017.73 is: 148,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,602.13 : 414,640.76 = 99,017.73 : x
  2. Step 2: Convert to fraction form
    276,602.13/414,640.76 = 99,017.73/x
  3. Step 3: Cross multiply
    276,602.13x = 414,640.76 × 99,017.73
  4. Step 4: Simplify right side
    276,602.13x = 41,056,786,325.59
  5. Step 5: Solve for x
    x = 41,056,786,325.59/276,602.13
  6. Step 6: Final answer
    x = 148,432.65

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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.