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Finding the Fourth Proportional to 442,434.68, 610,611.70 and 251,476.78

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Solution

The fourth proportional to 442,434.68, 610,611.70 and 251,476.78 is: 347,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,434.68 : 610,611.70 = 251,476.78 : x
  2. Step 2: Convert to fraction form
    442,434.68/610,611.70 = 251,476.78/x
  3. Step 3: Cross multiply
    442,434.68x = 610,611.70 × 251,476.78
  4. Step 4: Simplify right side
    442,434.68x = 153,554,664,146.33
  5. Step 5: Solve for x
    x = 153,554,664,146.33/442,434.68
  6. Step 6: Final answer
    x = 347,067.42

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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.