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Finding the Fourth Proportional to 397,171.76, 548,360.96 and 305,127.12

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Solution

The fourth proportional to 397,171.76, 548,360.96 and 305,127.12 is: 421,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,171.76 : 548,360.96 = 305,127.12 : x
  2. Step 2: Convert to fraction form
    397,171.76/548,360.96 = 305,127.12/x
  3. Step 3: Cross multiply
    397,171.76x = 548,360.96 × 305,127.12
  4. Step 4: Simplify right side
    397,171.76x = 167,319,800,445.24
  5. Step 5: Solve for x
    x = 167,319,800,445.24/397,171.76
  6. Step 6: Final answer
    x = 421,278.19

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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.