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Finding the Fourth Proportional to 278,431.76, 384,212.76 and 157,566.80

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Solution

The fourth proportional to 278,431.76, 384,212.76 and 157,566.80 is: 217,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,431.76 : 384,212.76 = 157,566.80 : x
  2. Step 2: Convert to fraction form
    278,431.76/384,212.76 = 157,566.80/x
  3. Step 3: Cross multiply
    278,431.76x = 384,212.76 × 157,566.80
  4. Step 4: Simplify right side
    278,431.76x = 60,539,175,112.37
  5. Step 5: Solve for x
    x = 60,539,175,112.37/278,431.76
  6. Step 6: Final answer
    x = 217,429.13

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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.