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Finding the Fourth Proportional to 290,864.40, 401,464.12 and 177,781.92

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Solution

The fourth proportional to 290,864.40, 401,464.12 and 177,781.92 is: 245,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864.40 : 401,464.12 = 177,781.92 : x
  2. Step 2: Convert to fraction form
    290,864.40/401,464.12 = 177,781.92/x
  3. Step 3: Cross multiply
    290,864.40x = 401,464.12 × 177,781.92
  4. Step 4: Simplify right side
    290,864.40x = 71,373,062,064.71
  5. Step 5: Solve for x
    x = 71,373,062,064.71/290,864.40
  6. Step 6: Final answer
    x = 245,382.60

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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.