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Finding the Fourth Proportional to 443,803.29, 665,816.71 and 128,258.07

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Solution

The fourth proportional to 443,803.29, 665,816.71 and 128,258.07 is: 192,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,803.29 : 665,816.71 = 128,258.07 : x
  2. Step 2: Convert to fraction form
    443,803.29/665,816.71 = 128,258.07/x
  3. Step 3: Cross multiply
    443,803.29x = 665,816.71 × 128,258.07
  4. Step 4: Simplify right side
    443,803.29x = 85,396,366,198.35
  5. Step 5: Solve for x
    x = 85,396,366,198.35/443,803.29
  6. Step 6: Final answer
    x = 192,419.41

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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.