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Finding the Fourth Proportional to 278,071.40, 417,107.10 and 188,841.80

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Solution

The fourth proportional to 278,071.40, 417,107.10 and 188,841.80 is: 283,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,071.40 : 417,107.10 = 188,841.80 : x
  2. Step 2: Convert to fraction form
    278,071.40/417,107.10 = 188,841.80/x
  3. Step 3: Cross multiply
    278,071.40x = 417,107.10 × 188,841.80
  4. Step 4: Simplify right side
    278,071.40x = 78,767,255,556.78
  5. Step 5: Solve for x
    x = 78,767,255,556.78/278,071.40
  6. Step 6: Final answer
    x = 283,262.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.