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Finding the Fourth Proportional to 668,214.80, 1,002,419.40 and 218,859.20

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Solution

The fourth proportional to 668,214.80, 1,002,419.40 and 218,859.20 is: 328,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,214.80 : 1,002,419.40 = 218,859.20 : x
  2. Step 2: Convert to fraction form
    668,214.80/1,002,419.40 = 218,859.20/x
  3. Step 3: Cross multiply
    668,214.80x = 1,002,419.40 × 218,859.20
  4. Step 4: Simplify right side
    668,214.80x = 219,388,707,948.48
  5. Step 5: Solve for x
    x = 219,388,707,948.48/668,214.80
  6. Step 6: Final answer
    x = 328,320.64

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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.