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Finding the Fourth Proportional to 447,708.76, 671,114.40 and 207,991.20

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Solution

The fourth proportional to 447,708.76, 671,114.40 and 207,991.20 is: 311,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,708.76 : 671,114.40 = 207,991.20 : x
  2. Step 2: Convert to fraction form
    447,708.76/671,114.40 = 207,991.20/x
  3. Step 3: Cross multiply
    447,708.76x = 671,114.40 × 207,991.20
  4. Step 4: Simplify right side
    447,708.76x = 139,585,889,393.28
  5. Step 5: Solve for x
    x = 139,585,889,393.28/447,708.76
  6. Step 6: Final answer
    x = 311,778.33

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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.