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Finding the Fourth Proportional to 257,856.20, 356,650.26 and 228,048.20

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Solution

The fourth proportional to 257,856.20, 356,650.26 and 228,048.20 is: 315,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.20 : 356,650.26 = 228,048.20 : x
  2. Step 2: Convert to fraction form
    257,856.20/356,650.26 = 228,048.20/x
  3. Step 3: Cross multiply
    257,856.20x = 356,650.26 × 228,048.20
  4. Step 4: Simplify right side
    257,856.20x = 81,333,449,822.53
  5. Step 5: Solve for x
    x = 81,333,449,822.53/257,856.20
  6. Step 6: Final answer
    x = 315,421.73

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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.