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Finding the Fourth Proportional to 398,748.74, 550,137.21 and 226,649.30

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Solution

The fourth proportional to 398,748.74, 550,137.21 and 226,649.30 is: 312,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,748.74 : 550,137.21 = 226,649.30 : x
  2. Step 2: Convert to fraction form
    398,748.74/550,137.21 = 226,649.30/x
  3. Step 3: Cross multiply
    398,748.74x = 550,137.21 × 226,649.30
  4. Step 4: Simplify right side
    398,748.74x = 124,688,210,799.77
  5. Step 5: Solve for x
    x = 124,688,210,799.77/398,748.74
  6. Step 6: Final answer
    x = 312,698.70

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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.