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Finding the Fourth Proportional to 538,883.40, 743,642.02 and 297,176.20

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Solution

The fourth proportional to 538,883.40, 743,642.02 and 297,176.20 is: 410,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,883.40 : 743,642.02 = 297,176.20 : x
  2. Step 2: Convert to fraction form
    538,883.40/743,642.02 = 297,176.20/x
  3. Step 3: Cross multiply
    538,883.40x = 743,642.02 × 297,176.20
  4. Step 4: Simplify right side
    538,883.40x = 220,992,709,663.92
  5. Step 5: Solve for x
    x = 220,992,709,663.92/538,883.40
  6. Step 6: Final answer
    x = 410,093.74

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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.