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Finding the Fourth Proportional to 278,145.84, 417,291.66 and 120,337.32

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Solution

The fourth proportional to 278,145.84, 417,291.66 and 120,337.32 is: 180,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,145.84 : 417,291.66 = 120,337.32 : x
  2. Step 2: Convert to fraction form
    278,145.84/417,291.66 = 120,337.32/x
  3. Step 3: Cross multiply
    278,145.84x = 417,291.66 × 120,337.32
  4. Step 4: Simplify right side
    278,145.84x = 50,215,760,022.75
  5. Step 5: Solve for x
    x = 50,215,760,022.75/278,145.84
  6. Step 6: Final answer
    x = 180,537.52

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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.