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Finding the Fourth Proportional to 378,881.36, 522,856.28 and 258,233.41

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Solution

The fourth proportional to 378,881.36, 522,856.28 and 258,233.41 is: 356,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,881.36 : 522,856.28 = 258,233.41 : x
  2. Step 2: Convert to fraction form
    378,881.36/522,856.28 = 258,233.41/x
  3. Step 3: Cross multiply
    378,881.36x = 522,856.28 × 258,233.41
  4. Step 4: Simplify right side
    378,881.36x = 135,018,957,526.01
  5. Step 5: Solve for x
    x = 135,018,957,526.01/378,881.36
  6. Step 6: Final answer
    x = 356,362.11

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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.