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Finding the Fourth Proportional to 538,411.59, 743,008.21 and 293,394.69

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Solution

The fourth proportional to 538,411.59, 743,008.21 and 293,394.69 is: 404,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,411.59 : 743,008.21 = 293,394.69 : x
  2. Step 2: Convert to fraction form
    538,411.59/743,008.21 = 293,394.69/x
  3. Step 3: Cross multiply
    538,411.59x = 743,008.21 × 293,394.69
  4. Step 4: Simplify right side
    538,411.59x = 217,994,662,706.92
  5. Step 5: Solve for x
    x = 217,994,662,706.92/538,411.59
  6. Step 6: Final answer
    x = 404,884.79

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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.