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Finding the Fourth Proportional to 447,509.97, 671,198.28 and 147,992.12

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Solution

The fourth proportional to 447,509.97, 671,198.28 and 147,992.12 is: 221,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,509.97 : 671,198.28 = 147,992.12 : x
  2. Step 2: Convert to fraction form
    447,509.97/671,198.28 = 147,992.12/x
  3. Step 3: Cross multiply
    447,509.97x = 671,198.28 × 147,992.12
  4. Step 4: Simplify right side
    447,509.97x = 99,332,056,397.55
  5. Step 5: Solve for x
    x = 99,332,056,397.55/447,509.97
  6. Step 6: Final answer
    x = 221,966.13

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1.5x scale

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.