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Finding the Fourth Proportional to 454,415.40, 681,623.10 and 134,578.80

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Solution

The fourth proportional to 454,415.40, 681,623.10 and 134,578.80 is: 201,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,415.40 : 681,623.10 = 134,578.80 : x
  2. Step 2: Convert to fraction form
    454,415.40/681,623.10 = 134,578.80/x
  3. Step 3: Cross multiply
    454,415.40x = 681,623.10 × 134,578.80
  4. Step 4: Simplify right side
    454,415.40x = 91,732,018,850.28
  5. Step 5: Solve for x
    x = 91,732,018,850.28/454,415.40
  6. Step 6: Final answer
    x = 201,868.20

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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.