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Finding the Fourth Proportional to 419,970.09, 579,544.29 and 238,678.86

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Solution

The fourth proportional to 419,970.09, 579,544.29 and 238,678.86 is: 329,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,970.09 : 579,544.29 = 238,678.86 : x
  2. Step 2: Convert to fraction form
    419,970.09/579,544.29 = 238,678.86/x
  3. Step 3: Cross multiply
    419,970.09x = 579,544.29 × 238,678.86
  4. Step 4: Simplify right side
    419,970.09x = 138,324,970,456.71
  5. Step 5: Solve for x
    x = 138,324,970,456.71/419,970.09
  6. Step 6: Final answer
    x = 329,368.62

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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.