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Finding the Fourth Proportional to 452,604, 678,906 and 115,645.41

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Solution

The fourth proportional to 452,604, 678,906 and 115,645.41 is: 173,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,604 : 678,906 = 115,645.41 : x
  2. Step 2: Convert to fraction form
    452,604/678,906 = 115,645.41/x
  3. Step 3: Cross multiply
    452,604x = 678,906 × 115,645.41
  4. Step 4: Simplify right side
    452,604x = 78,512,362,721.46
  5. Step 5: Solve for x
    x = 78,512,362,721.46/452,604
  6. Step 6: Final answer
    x = 173,468.12

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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.