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Finding the Fourth Proportional to 278,036.85, 383,680.53 and 150,709.71

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Solution

The fourth proportional to 278,036.85, 383,680.53 and 150,709.71 is: 207,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,036.85 : 383,680.53 = 150,709.71 : x
  2. Step 2: Convert to fraction form
    278,036.85/383,680.53 = 150,709.71/x
  3. Step 3: Cross multiply
    278,036.85x = 383,680.53 × 150,709.71
  4. Step 4: Simplify right side
    278,036.85x = 57,824,381,408.95
  5. Step 5: Solve for x
    x = 57,824,381,408.95/278,036.85
  6. Step 6: Final answer
    x = 207,973.80

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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.