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Finding the Fourth Proportional to 290,052, 400,272.84 and 169,276.68

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Solution

The fourth proportional to 290,052, 400,272.84 and 169,276.68 is: 233,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,052 : 400,272.84 = 169,276.68 : x
  2. Step 2: Convert to fraction form
    290,052/400,272.84 = 169,276.68/x
  3. Step 3: Cross multiply
    290,052x = 400,272.84 × 169,276.68
  4. Step 4: Simplify right side
    290,052x = 67,756,857,449.37
  5. Step 5: Solve for x
    x = 67,756,857,449.37/290,052
  6. Step 6: Final answer
    x = 233,602.45

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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.