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Finding the Fourth Proportional to 276,434.78, 414,488.55 and 107,758.20

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Solution

The fourth proportional to 276,434.78, 414,488.55 and 107,758.20 is: 161,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,434.78 : 414,488.55 = 107,758.20 : x
  2. Step 2: Convert to fraction form
    276,434.78/414,488.55 = 107,758.20/x
  3. Step 3: Cross multiply
    276,434.78x = 414,488.55 × 107,758.20
  4. Step 4: Simplify right side
    276,434.78x = 44,664,540,068.61
  5. Step 5: Solve for x
    x = 44,664,540,068.61/276,434.78
  6. Step 6: Final answer
    x = 161,573.52

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1.5x scale

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.