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Finding the Fourth Proportional to 268,678.50, 370,778.49 and 149,446.50

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Solution

The fourth proportional to 268,678.50, 370,778.49 and 149,446.50 is: 206,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,678.50 : 370,778.49 = 149,446.50 : x
  2. Step 2: Convert to fraction form
    268,678.50/370,778.49 = 149,446.50/x
  3. Step 3: Cross multiply
    268,678.50x = 370,778.49 × 149,446.50
  4. Step 4: Simplify right side
    268,678.50x = 55,411,547,605.79
  5. Step 5: Solve for x
    x = 55,411,547,605.79/268,678.50
  6. Step 6: Final answer
    x = 206,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.