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Finding the Fourth Proportional to 278,027.84, 383,668.14 and 150,700.70

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Solution

The fourth proportional to 278,027.84, 383,668.14 and 150,700.70 is: 207,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,027.84 : 383,668.14 = 150,700.70 : x
  2. Step 2: Convert to fraction form
    278,027.84/383,668.14 = 150,700.70/x
  3. Step 3: Cross multiply
    278,027.84x = 383,668.14 × 150,700.70
  4. Step 4: Simplify right side
    278,027.84x = 57,819,058,790.00
  5. Step 5: Solve for x
    x = 57,819,058,790.00/278,027.84
  6. Step 6: Final answer
    x = 207,961.40

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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.