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Finding the Fourth Proportional to 425,639.40, 638,135.10 and 215,428.20

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Solution

The fourth proportional to 425,639.40, 638,135.10 and 215,428.20 is: 322,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,639.40 : 638,135.10 = 215,428.20 : x
  2. Step 2: Convert to fraction form
    425,639.40/638,135.10 = 215,428.20/x
  3. Step 3: Cross multiply
    425,639.40x = 638,135.10 × 215,428.20
  4. Step 4: Simplify right side
    425,639.40x = 137,472,295,949.82
  5. Step 5: Solve for x
    x = 137,472,295,949.82/425,639.40
  6. Step 6: Final answer
    x = 322,978.31

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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.