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Finding the Fourth Proportional to 716,405.73, 988,648.07 and 410,475.97

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Solution

The fourth proportional to 716,405.73, 988,648.07 and 410,475.97 is: 566,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,405.73 : 988,648.07 = 410,475.97 : x
  2. Step 2: Convert to fraction form
    716,405.73/988,648.07 = 410,475.97/x
  3. Step 3: Cross multiply
    716,405.73x = 988,648.07 × 410,475.97
  4. Step 4: Simplify right side
    716,405.73x = 405,816,269,144.16
  5. Step 5: Solve for x
    x = 405,816,269,144.16/716,405.73
  6. Step 6: Final answer
    x = 566,461.51

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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.