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Finding the Fourth Proportional to 276,956.10, 415,504.17 and 77,276.43

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Solution

The fourth proportional to 276,956.10, 415,504.17 and 77,276.43 is: 115,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,956.10 : 415,504.17 = 77,276.43 : x
  2. Step 2: Convert to fraction form
    276,956.10/415,504.17 = 77,276.43/x
  3. Step 3: Cross multiply
    276,956.10x = 415,504.17 × 77,276.43
  4. Step 4: Simplify right side
    276,956.10x = 32,108,678,907.71
  5. Step 5: Solve for x
    x = 32,108,678,907.71/276,956.10
  6. Step 6: Final answer
    x = 115,934.18

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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.