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Finding the Fourth Proportional to 290,042.22, 400,168.53 and 169,097.91

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Solution

The fourth proportional to 290,042.22, 400,168.53 and 169,097.91 is: 233,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,042.22 : 400,168.53 = 169,097.91 : x
  2. Step 2: Convert to fraction form
    290,042.22/400,168.53 = 169,097.91/x
  3. Step 3: Cross multiply
    290,042.22x = 400,168.53 × 169,097.91
  4. Step 4: Simplify right side
    290,042.22x = 67,667,662,070.77
  5. Step 5: Solve for x
    x = 67,667,662,070.77/290,042.22
  6. Step 6: Final answer
    x = 233,302.80

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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.