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Finding the Fourth Proportional to 290,808.64, 401,285.32 and 161,726.20

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Solution

The fourth proportional to 290,808.64, 401,285.32 and 161,726.20 is: 223,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,808.64 : 401,285.32 = 161,726.20 : x
  2. Step 2: Convert to fraction form
    290,808.64/401,285.32 = 161,726.20/x
  3. Step 3: Cross multiply
    290,808.64x = 401,285.32 × 161,726.20
  4. Step 4: Simplify right side
    290,808.64x = 64,898,349,919.38
  5. Step 5: Solve for x
    x = 64,898,349,919.38/290,808.64
  6. Step 6: Final answer
    x = 223,165.14

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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.