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Finding the Fourth Proportional to 477,271, 715,910.82 and 144,847

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Solution

The fourth proportional to 477,271, 715,910.82 and 144,847 is: 217,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,271 : 715,910.82 = 144,847 : x
  2. Step 2: Convert to fraction form
    477,271/715,910.82 = 144,847/x
  3. Step 3: Cross multiply
    477,271x = 715,910.82 × 144,847
  4. Step 4: Simplify right side
    477,271x = 103,697,534,544.54
  5. Step 5: Solve for x
    x = 103,697,534,544.54/477,271
  6. Step 6: Final answer
    x = 217,271.81

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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.