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Finding the Fourth Proportional to 276,341.70, 414,512.55 and 98,862.60

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Solution

The fourth proportional to 276,341.70, 414,512.55 and 98,862.60 is: 148,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,341.70 : 414,512.55 = 98,862.60 : x
  2. Step 2: Convert to fraction form
    276,341.70/414,512.55 = 98,862.60/x
  3. Step 3: Cross multiply
    276,341.70x = 414,512.55 × 98,862.60
  4. Step 4: Simplify right side
    276,341.70x = 40,979,788,425.63
  5. Step 5: Solve for x
    x = 40,979,788,425.63/276,341.70
  6. Step 6: Final answer
    x = 148,293.90

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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.