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Finding the Fourth Proportional to 278,119.20, 417,178.80 and 188,306.40

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Solution

The fourth proportional to 278,119.20, 417,178.80 and 188,306.40 is: 282,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,119.20 : 417,178.80 = 188,306.40 : x
  2. Step 2: Convert to fraction form
    278,119.20/417,178.80 = 188,306.40/x
  3. Step 3: Cross multiply
    278,119.20x = 417,178.80 × 188,306.40
  4. Step 4: Simplify right side
    278,119.20x = 78,557,437,984.32
  5. Step 5: Solve for x
    x = 78,557,437,984.32/278,119.20
  6. Step 6: Final answer
    x = 282,459.60

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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.