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Finding the Fourth Proportional to 205,041.20, 307,561.80 and 185,358.20

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Solution

The fourth proportional to 205,041.20, 307,561.80 and 185,358.20 is: 278,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,041.20 : 307,561.80 = 185,358.20 : x
  2. Step 2: Convert to fraction form
    205,041.20/307,561.80 = 185,358.20/x
  3. Step 3: Cross multiply
    205,041.20x = 307,561.80 × 185,358.20
  4. Step 4: Simplify right side
    205,041.20x = 57,009,101,636.76
  5. Step 5: Solve for x
    x = 57,009,101,636.76/205,041.20
  6. Step 6: Final answer
    x = 278,037.30

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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.