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Finding the Fourth Proportional to 714,092.66, 985,447.84 and 408,175.64

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Solution

The fourth proportional to 714,092.66, 985,447.84 and 408,175.64 is: 563,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,092.66 : 985,447.84 = 408,175.64 : x
  2. Step 2: Convert to fraction form
    714,092.66/985,447.84 = 408,175.64/x
  3. Step 3: Cross multiply
    714,092.66x = 985,447.84 × 408,175.64
  4. Step 4: Simplify right side
    714,092.66x = 402,235,802,778.62
  5. Step 5: Solve for x
    x = 402,235,802,778.62/714,092.66
  6. Step 6: Final answer
    x = 563,282.37

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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.