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Finding the Fourth Proportional to 278,027.82, 417,041.70 and 240,476.30

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Solution

The fourth proportional to 278,027.82, 417,041.70 and 240,476.30 is: 360,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,027.82 : 417,041.70 = 240,476.30 : x
  2. Step 2: Convert to fraction form
    278,027.82/417,041.70 = 240,476.30/x
  3. Step 3: Cross multiply
    278,027.82x = 417,041.70 × 240,476.30
  4. Step 4: Simplify right side
    278,027.82x = 100,288,644,961.71
  5. Step 5: Solve for x
    x = 100,288,644,961.71/278,027.82
  6. Step 6: Final answer
    x = 360,714.42

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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.