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Finding the Fourth Proportional to 290,590.72, 401,032.32 and 218,844.16

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Solution

The fourth proportional to 290,590.72, 401,032.32 and 218,844.16 is: 302,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,590.72 : 401,032.32 = 218,844.16 : x
  2. Step 2: Convert to fraction form
    290,590.72/401,032.32 = 218,844.16/x
  3. Step 3: Cross multiply
    290,590.72x = 401,032.32 × 218,844.16
  4. Step 4: Simplify right side
    290,590.72x = 87,763,581,203.25
  5. Step 5: Solve for x
    x = 87,763,581,203.25/290,590.72
  6. Step 6: Final answer
    x = 302,017.84

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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.