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Finding the Fourth Proportional to 338,147.87, 507,255.62 and 124,971.80

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Solution

The fourth proportional to 338,147.87, 507,255.62 and 124,971.80 is: 187,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,147.87 : 507,255.62 = 124,971.80 : x
  2. Step 2: Convert to fraction form
    338,147.87/507,255.62 = 124,971.80/x
  3. Step 3: Cross multiply
    338,147.87x = 507,255.62 × 124,971.80
  4. Step 4: Simplify right side
    338,147.87x = 63,392,644,730.38
  5. Step 5: Solve for x
    x = 63,392,644,730.38/338,147.87
  6. Step 6: Final answer
    x = 187,470.19

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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.