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Finding the Fourth Proportional to 442,914, 611,254.17 and 251,988.90

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Solution

The fourth proportional to 442,914, 611,254.17 and 251,988.90 is: 347,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,914 : 611,254.17 = 251,988.90 : x
  2. Step 2: Convert to fraction form
    442,914/611,254.17 = 251,988.90/x
  3. Step 3: Cross multiply
    442,914x = 611,254.17 × 251,988.90
  4. Step 4: Simplify right side
    442,914x = 154,029,265,918.71
  5. Step 5: Solve for x
    x = 154,029,265,918.71/442,914
  6. Step 6: Final answer
    x = 347,763.37

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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.