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Finding the Fourth Proportional to 702,046.20, 968,631.30 and 447,187.80

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Solution

The fourth proportional to 702,046.20, 968,631.30 and 447,187.80 is: 616,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,046.20 : 968,631.30 = 447,187.80 : x
  2. Step 2: Convert to fraction form
    702,046.20/968,631.30 = 447,187.80/x
  3. Step 3: Cross multiply
    702,046.20x = 968,631.30 × 447,187.80
  4. Step 4: Simplify right side
    702,046.20x = 433,160,100,058.14
  5. Step 5: Solve for x
    x = 433,160,100,058.14/702,046.20
  6. Step 6: Final answer
    x = 616,996.57

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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.