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Finding the Fourth Proportional to 538,916.40, 743,689.95 and 297,194.58

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Solution

The fourth proportional to 538,916.40, 743,689.95 and 297,194.58 is: 410,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,916.40 : 743,689.95 = 297,194.58 : x
  2. Step 2: Convert to fraction form
    538,916.40/743,689.95 = 297,194.58/x
  3. Step 3: Cross multiply
    538,916.40x = 743,689.95 × 297,194.58
  4. Step 4: Simplify right side
    538,916.40x = 221,020,622,340.47
  5. Step 5: Solve for x
    x = 221,020,622,340.47/538,916.40
  6. Step 6: Final answer
    x = 410,120.42

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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.