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Finding the Fourth Proportional to 519,778.50, 717,294.33 and 293,438.58

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Solution

The fourth proportional to 519,778.50, 717,294.33 and 293,438.58 is: 404,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,778.50 : 717,294.33 = 293,438.58 : x
  2. Step 2: Convert to fraction form
    519,778.50/717,294.33 = 293,438.58/x
  3. Step 3: Cross multiply
    519,778.50x = 717,294.33 × 293,438.58
  4. Step 4: Simplify right side
    519,778.50x = 210,481,829,637.25
  5. Step 5: Solve for x
    x = 210,481,829,637.25/519,778.50
  6. Step 6: Final answer
    x = 404,945.24

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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.