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Finding the Fourth Proportional to 657,048.60, 984,843.90 and 257,556.60

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Solution

The fourth proportional to 657,048.60, 984,843.90 and 257,556.60 is: 386,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,048.60 : 984,843.90 = 257,556.60 : x
  2. Step 2: Convert to fraction form
    657,048.60/984,843.90 = 257,556.60/x
  3. Step 3: Cross multiply
    657,048.60x = 984,843.90 × 257,556.60
  4. Step 4: Simplify right side
    657,048.60x = 253,653,046,414.74
  5. Step 5: Solve for x
    x = 253,653,046,414.74/657,048.60
  6. Step 6: Final answer
    x = 386,049.14

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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.