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Finding the Fourth Proportional to 458,496.72, 686,850.35 and 300,245.40

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Solution

The fourth proportional to 458,496.72, 686,850.35 and 300,245.40 is: 449,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,496.72 : 686,850.35 = 300,245.40 : x
  2. Step 2: Convert to fraction form
    458,496.72/686,850.35 = 300,245.40/x
  3. Step 3: Cross multiply
    458,496.72x = 686,850.35 × 300,245.40
  4. Step 4: Simplify right side
    458,496.72x = 206,223,656,574.66
  5. Step 5: Solve for x
    x = 206,223,656,574.66/458,496.72
  6. Step 6: Final answer
    x = 449,782.19

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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.