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Finding the Fourth Proportional to 205,063.40, 307,595.10 and 149,294.90

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Solution

The fourth proportional to 205,063.40, 307,595.10 and 149,294.90 is: 223,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,063.40 : 307,595.10 = 149,294.90 : x
  2. Step 2: Convert to fraction form
    205,063.40/307,595.10 = 149,294.90/x
  3. Step 3: Cross multiply
    205,063.40x = 307,595.10 × 149,294.90
  4. Step 4: Simplify right side
    205,063.40x = 45,922,379,694.99
  5. Step 5: Solve for x
    x = 45,922,379,694.99/205,063.40
  6. Step 6: Final answer
    x = 223,942.35

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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.