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Finding the Fourth Proportional to 276,713.58, 415,029.03 and 77,013.15

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Solution

The fourth proportional to 276,713.58, 415,029.03 and 77,013.15 is: 115,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,713.58 : 415,029.03 = 77,013.15 : x
  2. Step 2: Convert to fraction form
    276,713.58/415,029.03 = 77,013.15/x
  3. Step 3: Cross multiply
    276,713.58x = 415,029.03 × 77,013.15
  4. Step 4: Simplify right side
    276,713.58x = 31,962,692,941.74
  5. Step 5: Solve for x
    x = 31,962,692,941.74/276,713.58
  6. Step 6: Final answer
    x = 115,508.22

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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.