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Finding the Fourth Proportional to 417,675.60, 626,707.80 and 218,221.20

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Solution

The fourth proportional to 417,675.60, 626,707.80 and 218,221.20 is: 327,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,675.60 : 626,707.80 = 218,221.20 : x
  2. Step 2: Convert to fraction form
    417,675.60/626,707.80 = 218,221.20/x
  3. Step 3: Cross multiply
    417,675.60x = 626,707.80 × 218,221.20
  4. Step 4: Simplify right side
    417,675.60x = 136,760,928,165.36
  5. Step 5: Solve for x
    x = 136,760,928,165.36/417,675.60
  6. Step 6: Final answer
    x = 327,433.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.