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Finding the Fourth Proportional to 425,578.20, 587,111.76 and 280,196.43

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Solution

The fourth proportional to 425,578.20, 587,111.76 and 280,196.43 is: 386,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,578.20 : 587,111.76 = 280,196.43 : x
  2. Step 2: Convert to fraction form
    425,578.20/587,111.76 = 280,196.43/x
  3. Step 3: Cross multiply
    425,578.20x = 587,111.76 × 280,196.43
  4. Step 4: Simplify right side
    425,578.20x = 164,506,619,163.02
  5. Step 5: Solve for x
    x = 164,506,619,163.02/425,578.20
  6. Step 6: Final answer
    x = 386,548.51

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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.