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Finding the Fourth Proportional to 538,909.49, 743,684.74 and 297,214.40

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Solution

The fourth proportional to 538,909.49, 743,684.74 and 297,214.40 is: 410,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,909.49 : 743,684.74 = 297,214.40 : x
  2. Step 2: Convert to fraction form
    538,909.49/743,684.74 = 297,214.40/x
  3. Step 3: Cross multiply
    538,909.49x = 743,684.74 × 297,214.40
  4. Step 4: Simplify right side
    538,909.49x = 221,033,809,326.80
  5. Step 5: Solve for x
    x = 221,033,809,326.80/538,909.49
  6. Step 6: Final answer
    x = 410,150.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.