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Finding the Fourth Proportional to 397,155.83, 548,072.33 and 227,422.76

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Solution

The fourth proportional to 397,155.83, 548,072.33 and 227,422.76 is: 313,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,155.83 : 548,072.33 = 227,422.76 : x
  2. Step 2: Convert to fraction form
    397,155.83/548,072.33 = 227,422.76/x
  3. Step 3: Cross multiply
    397,155.83x = 548,072.33 × 227,422.76
  4. Step 4: Simplify right side
    397,155.83x = 124,644,118,090.76
  5. Step 5: Solve for x
    x = 124,644,118,090.76/397,155.83
  6. Step 6: Final answer
    x = 313,841.85

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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.