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Finding the Fourth Proportional to 282,094.98, 389,291.05 and 161,238.86

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Solution

The fourth proportional to 282,094.98, 389,291.05 and 161,238.86 is: 222,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094.98 : 389,291.05 = 161,238.86 : x
  2. Step 2: Convert to fraction form
    282,094.98/389,291.05 = 161,238.86/x
  3. Step 3: Cross multiply
    282,094.98x = 389,291.05 × 161,238.86
  4. Step 4: Simplify right side
    282,094.98x = 62,768,845,110.20
  5. Step 5: Solve for x
    x = 62,768,845,110.20/282,094.98
  6. Step 6: Final answer
    x = 222,509.61

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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.