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Finding the Fourth Proportional to 288,625.74, 398,414.88 and 258,357.66

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Solution

The fourth proportional to 288,625.74, 398,414.88 and 258,357.66 is: 356,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,625.74 : 398,414.88 = 258,357.66 : x
  2. Step 2: Convert to fraction form
    288,625.74/398,414.88 = 258,357.66/x
  3. Step 3: Cross multiply
    288,625.74x = 398,414.88 × 258,357.66
  4. Step 4: Simplify right side
    288,625.74x = 102,933,536,105.98
  5. Step 5: Solve for x
    x = 102,933,536,105.98/288,625.74
  6. Step 6: Final answer
    x = 356,633.25

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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.