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Finding the Fourth Proportional to 290,291.96, 400,532.82 and 169,364.24

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Solution

The fourth proportional to 290,291.96, 400,532.82 and 169,364.24 is: 233,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,291.96 : 400,532.82 = 169,364.24 : x
  2. Step 2: Convert to fraction form
    290,291.96/400,532.82 = 169,364.24/x
  3. Step 3: Cross multiply
    290,291.96x = 400,532.82 × 169,364.24
  4. Step 4: Simplify right side
    290,291.96x = 67,835,936,654.36
  5. Step 5: Solve for x
    x = 67,835,936,654.36/290,291.96
  6. Step 6: Final answer
    x = 233,681.76

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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.