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Finding the Fourth Proportional to 702,079.20, 968,676.84 and 447,220.80

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Solution

The fourth proportional to 702,079.20, 968,676.84 and 447,220.80 is: 617,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,079.20 : 968,676.84 = 447,220.80 : x
  2. Step 2: Convert to fraction form
    702,079.20/968,676.84 = 447,220.80/x
  3. Step 3: Cross multiply
    702,079.20x = 968,676.84 × 447,220.80
  4. Step 4: Simplify right side
    702,079.20x = 433,212,431,326.27
  5. Step 5: Solve for x
    x = 433,212,431,326.27/702,079.20
  6. Step 6: Final answer
    x = 617,042.11

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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.