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Finding the Fourth Proportional to 338,617.05, 508,010.14 and 238,971.86

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Solution

The fourth proportional to 338,617.05, 508,010.14 and 238,971.86 is: 358,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,617.05 : 508,010.14 = 238,971.86 : x
  2. Step 2: Convert to fraction form
    338,617.05/508,010.14 = 238,971.86/x
  3. Step 3: Cross multiply
    338,617.05x = 508,010.14 × 238,971.86
  4. Step 4: Simplify right side
    338,617.05x = 121,400,128,727.26
  5. Step 5: Solve for x
    x = 121,400,128,727.26/338,617.05
  6. Step 6: Final answer
    x = 358,517.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.