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Finding the Fourth Proportional to 508,540.54, 701,922.09 and 317,438.86

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Solution

The fourth proportional to 508,540.54, 701,922.09 and 317,438.86 is: 438,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,540.54 : 701,922.09 = 317,438.86 : x
  2. Step 2: Convert to fraction form
    508,540.54/701,922.09 = 317,438.86/x
  3. Step 3: Cross multiply
    508,540.54x = 701,922.09 × 317,438.86
  4. Step 4: Simplify right side
    508,540.54x = 222,817,348,058.42
  5. Step 5: Solve for x
    x = 222,817,348,058.42/508,540.54
  6. Step 6: Final answer
    x = 438,150.61

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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.