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Finding the Fourth Proportional to 290,050, 400,270.08 and 169,274.68

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Solution

The fourth proportional to 290,050, 400,270.08 and 169,274.68 is: 233,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,050 : 400,270.08 = 169,274.68 : x
  2. Step 2: Convert to fraction form
    290,050/400,270.08 = 169,274.68/x
  3. Step 3: Cross multiply
    290,050x = 400,270.08 × 169,274.68
  4. Step 4: Simplify right side
    290,050x = 67,755,589,705.57
  5. Step 5: Solve for x
    x = 67,755,589,705.57/290,050
  6. Step 6: Final answer
    x = 233,599.69

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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.