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Finding the Fourth Proportional to 538,907.86, 743,682.49 and 297,212.77

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Solution

The fourth proportional to 538,907.86, 743,682.49 and 297,212.77 is: 410,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,907.86 : 743,682.49 = 297,212.77 : x
  2. Step 2: Convert to fraction form
    538,907.86/743,682.49 = 297,212.77/x
  3. Step 3: Cross multiply
    538,907.86x = 743,682.49 × 297,212.77
  4. Step 4: Simplify right side
    538,907.86x = 221,031,932,853.40
  5. Step 5: Solve for x
    x = 221,031,932,853.40/538,907.86
  6. Step 6: Final answer
    x = 410,147.91

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1.5x scale

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.