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Finding the Fourth Proportional to 381,849, 572,629.50 and 306,784.68

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Solution

The fourth proportional to 381,849, 572,629.50 and 306,784.68 is: 460,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,849 : 572,629.50 = 306,784.68 : x
  2. Step 2: Convert to fraction form
    381,849/572,629.50 = 306,784.68/x
  3. Step 3: Cross multiply
    381,849x = 572,629.50 × 306,784.68
  4. Step 4: Simplify right side
    381,849x = 175,673,957,916.06
  5. Step 5: Solve for x
    x = 175,673,957,916.06/381,849
  6. Step 6: Final answer
    x = 460,061.33

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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.