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Finding the Fourth Proportional to 716,757.22, 989,105.07 and 406,716.27

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Solution

The fourth proportional to 716,757.22, 989,105.07 and 406,716.27 is: 561,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,757.22 : 989,105.07 = 406,716.27 : x
  2. Step 2: Convert to fraction form
    716,757.22/989,105.07 = 406,716.27/x
  3. Step 3: Cross multiply
    716,757.22x = 989,105.07 × 406,716.27
  4. Step 4: Simplify right side
    716,757.22x = 402,285,124,708.49
  5. Step 5: Solve for x
    x = 402,285,124,708.49/716,757.22
  6. Step 6: Final answer
    x = 561,257.16

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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.