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Finding the Fourth Proportional to 717,680, 990,398.40 and 399,728

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Solution

The fourth proportional to 717,680, 990,398.40 and 399,728 is: 551,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,680 : 990,398.40 = 399,728 : x
  2. Step 2: Convert to fraction form
    717,680/990,398.40 = 399,728/x
  3. Step 3: Cross multiply
    717,680x = 990,398.40 × 399,728
  4. Step 4: Simplify right side
    717,680x = 395,889,971,635.20
  5. Step 5: Solve for x
    x = 395,889,971,635.20/717,680
  6. Step 6: Final answer
    x = 551,624.64

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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.