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Finding the Fourth Proportional to 280,174.78, 386,625.44 and 159,345.46

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Solution

The fourth proportional to 280,174.78, 386,625.44 and 159,345.46 is: 219,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,174.78 : 386,625.44 = 159,345.46 : x
  2. Step 2: Convert to fraction form
    280,174.78/386,625.44 = 159,345.46/x
  3. Step 3: Cross multiply
    280,174.78x = 386,625.44 × 159,345.46
  4. Step 4: Simplify right side
    280,174.78x = 61,607,008,584.50
  5. Step 5: Solve for x
    x = 61,607,008,584.50/280,174.78
  6. Step 6: Final answer
    x = 219,887.77

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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.