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Finding the Fourth Proportional to 276,897.35, 415,340.06 and 77,212.41

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Solution

The fourth proportional to 276,897.35, 415,340.06 and 77,212.41 is: 115,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,897.35 : 415,340.06 = 77,212.41 : x
  2. Step 2: Convert to fraction form
    276,897.35/415,340.06 = 77,212.41/x
  3. Step 3: Cross multiply
    276,897.35x = 415,340.06 × 77,212.41
  4. Step 4: Simplify right side
    276,897.35x = 32,069,406,616.08
  5. Step 5: Solve for x
    x = 32,069,406,616.08/276,897.35
  6. Step 6: Final answer
    x = 115,816.95

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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.