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Finding the Fourth Proportional to 538,815, 743,550.48 and 297,093.54

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Solution

The fourth proportional to 538,815, 743,550.48 and 297,093.54 is: 409,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,815 : 743,550.48 = 297,093.54 : x
  2. Step 2: Convert to fraction form
    538,815/743,550.48 = 297,093.54/x
  3. Step 3: Cross multiply
    538,815x = 743,550.48 × 297,093.54
  4. Step 4: Simplify right side
    538,815x = 220,904,044,271.90
  5. Step 5: Solve for x
    x = 220,904,044,271.90/538,815
  6. Step 6: Final answer
    x = 409,981.24

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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.