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Finding the Fourth Proportional to 425,616.30, 638,424.45 and 215,664.30

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Solution

The fourth proportional to 425,616.30, 638,424.45 and 215,664.30 is: 323,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,616.30 : 638,424.45 = 215,664.30 : x
  2. Step 2: Convert to fraction form
    425,616.30/638,424.45 = 215,664.30/x
  3. Step 3: Cross multiply
    425,616.30x = 638,424.45 × 215,664.30
  4. Step 4: Simplify right side
    425,616.30x = 137,685,362,112.14
  5. Step 5: Solve for x
    x = 137,685,362,112.14/425,616.30
  6. Step 6: Final answer
    x = 323,496.45

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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.