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Finding the Fourth Proportional to 638,383.80, 957,348.90 and 282,761.40

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Solution

The fourth proportional to 638,383.80, 957,348.90 and 282,761.40 is: 424,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,383.80 : 957,348.90 = 282,761.40 : x
  2. Step 2: Convert to fraction form
    638,383.80/957,348.90 = 282,761.40/x
  3. Step 3: Cross multiply
    638,383.80x = 957,348.90 × 282,761.40
  4. Step 4: Simplify right side
    638,383.80x = 270,701,315,252.46
  5. Step 5: Solve for x
    x = 270,701,315,252.46/638,383.80
  6. Step 6: Final answer
    x = 424,041.64

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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.