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Finding the Fourth Proportional to 486,916.40, 729,062.40 and 381,940.40

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Solution

The fourth proportional to 486,916.40, 729,062.40 and 381,940.40 is: 571,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,916.40 : 729,062.40 = 381,940.40 : x
  2. Step 2: Convert to fraction form
    486,916.40/729,062.40 = 381,940.40/x
  3. Step 3: Cross multiply
    486,916.40x = 729,062.40 × 381,940.40
  4. Step 4: Simplify right side
    486,916.40x = 278,458,384,680.96
  5. Step 5: Solve for x
    x = 278,458,384,680.96/486,916.40
  6. Step 6: Final answer
    x = 571,881.30

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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.