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Finding the Fourth Proportional to 205,035.20, 307,552.80 and 185,352.20

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Solution

The fourth proportional to 205,035.20, 307,552.80 and 185,352.20 is: 278,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,035.20 : 307,552.80 = 185,352.20 : x
  2. Step 2: Convert to fraction form
    205,035.20/307,552.80 = 185,352.20/x
  3. Step 3: Cross multiply
    205,035.20x = 307,552.80 × 185,352.20
  4. Step 4: Simplify right side
    205,035.20x = 57,005,588,096.16
  5. Step 5: Solve for x
    x = 57,005,588,096.16/205,035.20
  6. Step 6: Final answer
    x = 278,028.30

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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.