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Finding the Fourth Proportional to 278,109.84, 383,768.64 and 157,263.48

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Solution

The fourth proportional to 278,109.84, 383,768.64 and 157,263.48 is: 217,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,109.84 : 383,768.64 = 157,263.48 : x
  2. Step 2: Convert to fraction form
    278,109.84/383,768.64 = 157,263.48/x
  3. Step 3: Cross multiply
    278,109.84x = 383,768.64 × 157,263.48
  4. Step 4: Simplify right side
    278,109.84x = 60,352,791,841.27
  5. Step 5: Solve for x
    x = 60,352,791,841.27/278,109.84
  6. Step 6: Final answer
    x = 217,010.63

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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.