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Finding the Fourth Proportional to 419,843.48, 579,362.10 and 238,530.20

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Solution

The fourth proportional to 419,843.48, 579,362.10 and 238,530.20 is: 329,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,843.48 : 579,362.10 = 238,530.20 : x
  2. Step 2: Convert to fraction form
    419,843.48/579,362.10 = 238,530.20/x
  3. Step 3: Cross multiply
    419,843.48x = 579,362.10 × 238,530.20
  4. Step 4: Simplify right side
    419,843.48x = 138,195,357,585.42
  5. Step 5: Solve for x
    x = 138,195,357,585.42/419,843.48
  6. Step 6: Final answer
    x = 329,159.23

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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.