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Finding the Fourth Proportional to 447,966, 671,961.96 and 115,542

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Solution

The fourth proportional to 447,966, 671,961.96 and 115,542 is: 173,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,966 : 671,961.96 = 115,542 : x
  2. Step 2: Convert to fraction form
    447,966/671,961.96 = 115,542/x
  3. Step 3: Cross multiply
    447,966x = 671,961.96 × 115,542
  4. Step 4: Simplify right side
    447,966x = 77,639,828,782.32
  5. Step 5: Solve for x
    x = 77,639,828,782.32/447,966
  6. Step 6: Final answer
    x = 173,316.34

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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.