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Finding the Fourth Proportional to 205,438.20, 307,574.10 and 205,438.20

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Solution

The fourth proportional to 205,438.20, 307,574.10 and 205,438.20 is: 307,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,438.20 : 307,574.10 = 205,438.20 : x
  2. Step 2: Convert to fraction form
    205,438.20/307,574.10 = 205,438.20/x
  3. Step 3: Cross multiply
    205,438.20x = 307,574.10 × 205,438.20
  4. Step 4: Simplify right side
    205,438.20x = 63,187,469,470.62
  5. Step 5: Solve for x
    x = 63,187,469,470.62/205,438.20
  6. Step 6: Final answer
    x = 307,574.10

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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.