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Finding the Fourth Proportional to 278,013.96, 383,659.83 and 150,689.64

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Solution

The fourth proportional to 278,013.96, 383,659.83 and 150,689.64 is: 207,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.96 : 383,659.83 = 150,689.64 : x
  2. Step 2: Convert to fraction form
    278,013.96/383,659.83 = 150,689.64/x
  3. Step 3: Cross multiply
    278,013.96x = 383,659.83 × 150,689.64
  4. Step 4: Simplify right side
    278,013.96x = 57,813,561,665.16
  5. Step 5: Solve for x
    x = 57,813,561,665.16/278,013.96
  6. Step 6: Final answer
    x = 207,952.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.