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Finding the Fourth Proportional to 538,690.36, 743,397.60 and 296,981.68

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Solution

The fourth proportional to 538,690.36, 743,397.60 and 296,981.68 is: 409,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,690.36 : 743,397.60 = 296,981.68 : x
  2. Step 2: Convert to fraction form
    538,690.36/743,397.60 = 296,981.68/x
  3. Step 3: Cross multiply
    538,690.36x = 743,397.60 × 296,981.68
  4. Step 4: Simplify right side
    538,690.36x = 220,775,468,155.97
  5. Step 5: Solve for x
    x = 220,775,468,155.97/538,690.36
  6. Step 6: Final answer
    x = 409,837.42

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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.