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Finding the Fourth Proportional to 278,672.90, 418,009.35 and 194,692.10

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Solution

The fourth proportional to 278,672.90, 418,009.35 and 194,692.10 is: 292,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,672.90 : 418,009.35 = 194,692.10 : x
  2. Step 2: Convert to fraction form
    278,672.90/418,009.35 = 194,692.10/x
  3. Step 3: Cross multiply
    278,672.90x = 418,009.35 × 194,692.10
  4. Step 4: Simplify right side
    278,672.90x = 81,383,118,171.14
  5. Step 5: Solve for x
    x = 81,383,118,171.14/278,672.90
  6. Step 6: Final answer
    x = 292,038.15

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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.