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Finding the Fourth Proportional to 276,907.85, 415,355.80 and 77,222.91

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Solution

The fourth proportional to 276,907.85, 415,355.80 and 77,222.91 is: 115,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,907.85 : 415,355.80 = 77,222.91 : x
  2. Step 2: Convert to fraction form
    276,907.85/415,355.80 = 77,222.91/x
  3. Step 3: Cross multiply
    276,907.85x = 415,355.80 × 77,222.91
  4. Step 4: Simplify right side
    276,907.85x = 32,074,983,561.38
  5. Step 5: Solve for x
    x = 32,074,983,561.38/276,907.85
  6. Step 6: Final answer
    x = 115,832.70

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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.