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Finding the Fourth Proportional to 661,438.44, 912,625.20 and 419,634

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Solution

The fourth proportional to 661,438.44, 912,625.20 and 419,634 is: 578,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,438.44 : 912,625.20 = 419,634 : x
  2. Step 2: Convert to fraction form
    661,438.44/912,625.20 = 419,634/x
  3. Step 3: Cross multiply
    661,438.44x = 912,625.20 × 419,634
  4. Step 4: Simplify right side
    661,438.44x = 382,968,563,176.80
  5. Step 5: Solve for x
    x = 382,968,563,176.80/661,438.44
  6. Step 6: Final answer
    x = 578,993.51

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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.