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Finding the Fourth Proportional to 276,726.30, 414,967.95 and 126,916.80

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Solution

The fourth proportional to 276,726.30, 414,967.95 and 126,916.80 is: 190,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726.30 : 414,967.95 = 126,916.80 : x
  2. Step 2: Convert to fraction form
    276,726.30/414,967.95 = 126,916.80/x
  3. Step 3: Cross multiply
    276,726.30x = 414,967.95 × 126,916.80
  4. Step 4: Simplify right side
    276,726.30x = 52,666,404,316.56
  5. Step 5: Solve for x
    x = 52,666,404,316.56/276,726.30
  6. Step 6: Final answer
    x = 190,319.48

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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.