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Finding the Fourth Proportional to 205,029.20, 307,543.80 and 185,346.20

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Solution

The fourth proportional to 205,029.20, 307,543.80 and 185,346.20 is: 278,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029.20 : 307,543.80 = 185,346.20 : x
  2. Step 2: Convert to fraction form
    205,029.20/307,543.80 = 185,346.20/x
  3. Step 3: Cross multiply
    205,029.20x = 307,543.80 × 185,346.20
  4. Step 4: Simplify right side
    205,029.20x = 57,002,074,663.56
  5. Step 5: Solve for x
    x = 57,002,074,663.56/205,029.20
  6. Step 6: Final answer
    x = 278,019.30

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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.