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Finding the Fourth Proportional to 720,428.10, 1,080,695.61 and 214,949.22

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Solution

The fourth proportional to 720,428.10, 1,080,695.61 and 214,949.22 is: 322,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,428.10 : 1,080,695.61 = 214,949.22 : x
  2. Step 2: Convert to fraction form
    720,428.10/1,080,695.61 = 214,949.22/x
  3. Step 3: Cross multiply
    720,428.10x = 1,080,695.61 × 214,949.22
  4. Step 4: Simplify right side
    720,428.10x = 232,294,678,426.92
  5. Step 5: Solve for x
    x = 232,294,678,426.92/720,428.10
  6. Step 6: Final answer
    x = 322,439.78

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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.