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Finding the Fourth Proportional to 276,714.30, 415,071.45 and 136,454.70

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Solution

The fourth proportional to 276,714.30, 415,071.45 and 136,454.70 is: 204,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,714.30 : 415,071.45 = 136,454.70 : x
  2. Step 2: Convert to fraction form
    276,714.30/415,071.45 = 136,454.70/x
  3. Step 3: Cross multiply
    276,714.30x = 415,071.45 × 136,454.70
  4. Step 4: Simplify right side
    276,714.30x = 56,638,450,188.32
  5. Step 5: Solve for x
    x = 56,638,450,188.32/276,714.30
  6. Step 6: Final answer
    x = 204,682.05

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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.