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Finding the Fourth Proportional to 306,974.79, 460,564.66 and 136,172.94

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Solution

The fourth proportional to 306,974.79, 460,564.66 and 136,172.94 is: 204,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,974.79 : 460,564.66 = 136,172.94 : x
  2. Step 2: Convert to fraction form
    306,974.79/460,564.66 = 136,172.94/x
  3. Step 3: Cross multiply
    306,974.79x = 460,564.66 × 136,172.94
  4. Step 4: Simplify right side
    306,974.79x = 62,716,443,812.30
  5. Step 5: Solve for x
    x = 62,716,443,812.30/306,974.79
  6. Step 6: Final answer
    x = 204,304.87

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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.