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Finding the Fourth Proportional to 205,319.40, 307,979.10 and 148,894.80

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Solution

The fourth proportional to 205,319.40, 307,979.10 and 148,894.80 is: 223,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,319.40 : 307,979.10 = 148,894.80 : x
  2. Step 2: Convert to fraction form
    205,319.40/307,979.10 = 148,894.80/x
  3. Step 3: Cross multiply
    205,319.40x = 307,979.10 × 148,894.80
  4. Step 4: Simplify right side
    205,319.40x = 45,856,486,498.68
  5. Step 5: Solve for x
    x = 45,856,486,498.68/205,319.40
  6. Step 6: Final answer
    x = 223,342.20

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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.