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Finding the Fourth Proportional to 640,825.68, 884,723.17 and 399,435.22

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Solution

The fourth proportional to 640,825.68, 884,723.17 and 399,435.22 is: 551,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,825.68 : 884,723.17 = 399,435.22 : x
  2. Step 2: Convert to fraction form
    640,825.68/884,723.17 = 399,435.22/x
  3. Step 3: Cross multiply
    640,825.68x = 884,723.17 × 399,435.22
  4. Step 4: Simplify right side
    640,825.68x = 353,389,592,355.65
  5. Step 5: Solve for x
    x = 353,389,592,355.65/640,825.68
  6. Step 6: Final answer
    x = 551,459.78

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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.