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Finding the Fourth Proportional to 538,907.80, 806,979.30 and 514,024.60

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Solution

The fourth proportional to 538,907.80, 806,979.30 and 514,024.60 is: 769,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,907.80 : 806,979.30 = 514,024.60 : x
  2. Step 2: Convert to fraction form
    538,907.80/806,979.30 = 514,024.60/x
  3. Step 3: Cross multiply
    538,907.80x = 806,979.30 × 514,024.60
  4. Step 4: Simplify right side
    538,907.80x = 414,807,211,890.78
  5. Step 5: Solve for x
    x = 414,807,211,890.78/538,907.80
  6. Step 6: Final answer
    x = 769,718.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.