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Finding the Fourth Proportional to 538,756.84, 743,517.84 and 297,038.98

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Solution

The fourth proportional to 538,756.84, 743,517.84 and 297,038.98 is: 409,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,756.84 : 743,517.84 = 297,038.98 : x
  2. Step 2: Convert to fraction form
    538,756.84/743,517.84 = 297,038.98/x
  3. Step 3: Cross multiply
    538,756.84x = 743,517.84 × 297,038.98
  4. Step 4: Simplify right side
    538,756.84x = 220,853,780,805.40
  5. Step 5: Solve for x
    x = 220,853,780,805.40/538,756.84
  6. Step 6: Final answer
    x = 409,932.21

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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.