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Finding the Fourth Proportional to 257,854.20, 356,647.50 and 228,046.20

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Solution

The fourth proportional to 257,854.20, 356,647.50 and 228,046.20 is: 315,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.20 : 356,647.50 = 228,046.20 : x
  2. Step 2: Convert to fraction form
    257,854.20/356,647.50 = 228,046.20/x
  3. Step 3: Cross multiply
    257,854.20x = 356,647.50 × 228,046.20
  4. Step 4: Simplify right side
    257,854.20x = 81,332,107,114.50
  5. Step 5: Solve for x
    x = 81,332,107,114.50/257,854.20
  6. Step 6: Final answer
    x = 315,418.97

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1.5x scale

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.