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Finding the Fourth Proportional to 419,833.92, 579,384.48 and 238,535.10

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Solution

The fourth proportional to 419,833.92, 579,384.48 and 238,535.10 is: 329,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,833.92 : 579,384.48 = 238,535.10 : x
  2. Step 2: Convert to fraction form
    419,833.92/579,384.48 = 238,535.10/x
  3. Step 3: Cross multiply
    419,833.92x = 579,384.48 × 238,535.10
  4. Step 4: Simplify right side
    419,833.92x = 138,203,534,875.25
  5. Step 5: Solve for x
    x = 138,203,534,875.25/419,833.92
  6. Step 6: Final answer
    x = 329,186.21

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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.