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Finding the Fourth Proportional to 306,874.65, 423,372.42 and 306,401.57

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Solution

The fourth proportional to 306,874.65, 423,372.42 and 306,401.57 is: 422,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,874.65 : 423,372.42 = 306,401.57 : x
  2. Step 2: Convert to fraction form
    306,874.65/423,372.42 = 306,401.57/x
  3. Step 3: Cross multiply
    306,874.65x = 423,372.42 × 306,401.57
  4. Step 4: Simplify right side
    306,874.65x = 129,721,972,065.84
  5. Step 5: Solve for x
    x = 129,721,972,065.84/306,874.65
  6. Step 6: Final answer
    x = 422,719.74

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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.