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Finding the Fourth Proportional to 610,446, 915,800.22 and 205,678.44

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Solution

The fourth proportional to 610,446, 915,800.22 and 205,678.44 is: 308,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,446 : 915,800.22 = 205,678.44 : x
  2. Step 2: Convert to fraction form
    610,446/915,800.22 = 205,678.44/x
  3. Step 3: Cross multiply
    610,446x = 915,800.22 × 205,678.44
  4. Step 4: Simplify right side
    610,446x = 188,360,360,601.26
  5. Step 5: Solve for x
    x = 188,360,360,601.26/610,446
  6. Step 6: Final answer
    x = 308,561.87

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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.