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Finding the Fourth Proportional to 419,725.81, 579,203.22 and 238,437.01

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Solution

The fourth proportional to 419,725.81, 579,203.22 and 238,437.01 is: 329,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725.81 : 579,203.22 = 238,437.01 : x
  2. Step 2: Convert to fraction form
    419,725.81/579,203.22 = 238,437.01/x
  3. Step 3: Cross multiply
    419,725.81x = 579,203.22 × 238,437.01
  4. Step 4: Simplify right side
    419,725.81x = 138,103,483,959.17
  5. Step 5: Solve for x
    x = 138,103,483,959.17/419,725.81
  6. Step 6: Final answer
    x = 329,032.62

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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.