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Finding the Fourth Proportional to 290,404.16, 400,453.92 and 229,878.08

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Solution

The fourth proportional to 290,404.16, 400,453.92 and 229,878.08 is: 316,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,404.16 : 400,453.92 = 229,878.08 : x
  2. Step 2: Convert to fraction form
    290,404.16/400,453.92 = 229,878.08/x
  3. Step 3: Cross multiply
    290,404.16x = 400,453.92 × 229,878.08
  4. Step 4: Simplify right side
    290,404.16x = 92,055,578,258.07
  5. Step 5: Solve for x
    x = 92,055,578,258.07/290,404.16
  6. Step 6: Final answer
    x = 316,991.25

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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.