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Finding the Fourth Proportional to 447,770.77, 670,956.31 and 258,347.41

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Solution

The fourth proportional to 447,770.77, 670,956.31 and 258,347.41 is: 387,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,770.77 : 670,956.31 = 258,347.41 : x
  2. Step 2: Convert to fraction form
    447,770.77/670,956.31 = 258,347.41/x
  3. Step 3: Cross multiply
    447,770.77x = 670,956.31 × 258,347.41
  4. Step 4: Simplify right side
    447,770.77x = 173,339,823,557.20
  5. Step 5: Solve for x
    x = 173,339,823,557.20/447,770.77
  6. Step 6: Final answer
    x = 387,117.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.