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Finding the Fourth Proportional to 372,114.94, 513,556.74 and 219,201.25

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Solution

The fourth proportional to 372,114.94, 513,556.74 and 219,201.25 is: 302,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,114.94 : 513,556.74 = 219,201.25 : x
  2. Step 2: Convert to fraction form
    372,114.94/513,556.74 = 219,201.25/x
  3. Step 3: Cross multiply
    372,114.94x = 513,556.74 × 219,201.25
  4. Step 4: Simplify right side
    372,114.94x = 112,572,275,690.14
  5. Step 5: Solve for x
    x = 112,572,275,690.14/372,114.94
  6. Step 6: Final answer
    x = 302,520.18

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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.