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Finding the Fourth Proportional to 662,820.36, 914,401.08 and 447,882

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Solution

The fourth proportional to 662,820.36, 914,401.08 and 447,882 is: 617,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,820.36 : 914,401.08 = 447,882 : x
  2. Step 2: Convert to fraction form
    662,820.36/914,401.08 = 447,882/x
  3. Step 3: Cross multiply
    662,820.36x = 914,401.08 × 447,882
  4. Step 4: Simplify right side
    662,820.36x = 409,543,784,512.56
  5. Step 5: Solve for x
    x = 409,543,784,512.56/662,820.36
  6. Step 6: Final answer
    x = 617,880.51

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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.