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Finding the Fourth Proportional to 397,707.76, 548,820.12 and 218,848.24

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Solution

The fourth proportional to 397,707.76, 548,820.12 and 218,848.24 is: 302,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,707.76 : 548,820.12 = 218,848.24 : x
  2. Step 2: Convert to fraction form
    397,707.76/548,820.12 = 218,848.24/x
  3. Step 3: Cross multiply
    397,707.76x = 548,820.12 × 218,848.24
  4. Step 4: Simplify right side
    397,707.76x = 120,108,317,338.59
  5. Step 5: Solve for x
    x = 120,108,317,338.59/397,707.76
  6. Step 6: Final answer
    x = 302,001.44

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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.