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Finding the Fourth Proportional to 458,469.64, 687,483.26 and 192,158.66

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Solution

The fourth proportional to 458,469.64, 687,483.26 and 192,158.66 is: 288,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,469.64 : 687,483.26 = 192,158.66 : x
  2. Step 2: Convert to fraction form
    458,469.64/687,483.26 = 192,158.66/x
  3. Step 3: Cross multiply
    458,469.64x = 687,483.26 × 192,158.66
  4. Step 4: Simplify right side
    458,469.64x = 132,105,862,014.03
  5. Step 5: Solve for x
    x = 132,105,862,014.03/458,469.64
  6. Step 6: Final answer
    x = 288,145.28

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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.