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Finding the Fourth Proportional to 458,504.74, 686,493.51 and 345,843.87

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Solution

The fourth proportional to 458,504.74, 686,493.51 and 345,843.87 is: 517,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,504.74 : 686,493.51 = 345,843.87 : x
  2. Step 2: Convert to fraction form
    458,504.74/686,493.51 = 345,843.87/x
  3. Step 3: Cross multiply
    458,504.74x = 686,493.51 × 345,843.87
  4. Step 4: Simplify right side
    458,504.74x = 237,419,572,228.28
  5. Step 5: Solve for x
    x = 237,419,572,228.28/458,504.74
  6. Step 6: Final answer
    x = 517,812.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.