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Finding the Fourth Proportional to 662,838.36, 914,425.92 and 447,900

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Solution

The fourth proportional to 662,838.36, 914,425.92 and 447,900 is: 617,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,838.36 : 914,425.92 = 447,900 : x
  2. Step 2: Convert to fraction form
    662,838.36/914,425.92 = 447,900/x
  3. Step 3: Cross multiply
    662,838.36x = 914,425.92 × 447,900
  4. Step 4: Simplify right side
    662,838.36x = 409,571,369,568
  5. Step 5: Solve for x
    x = 409,571,369,568/662,838.36
  6. Step 6: Final answer
    x = 617,905.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.