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Finding the Fourth Proportional to 291,186.24, 400,945.80 and 290,345.48

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Solution

The fourth proportional to 291,186.24, 400,945.80 and 290,345.48 is: 399,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,186.24 : 400,945.80 = 290,345.48 : x
  2. Step 2: Convert to fraction form
    291,186.24/400,945.80 = 290,345.48/x
  3. Step 3: Cross multiply
    291,186.24x = 400,945.80 × 290,345.48
  4. Step 4: Simplify right side
    291,186.24x = 116,412,802,301.75
  5. Step 5: Solve for x
    x = 116,412,802,301.75/291,186.24
  6. Step 6: Final answer
    x = 399,788.13

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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.