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Finding the Fourth Proportional to 458,361.76, 687,575.76 and 191,854.24

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Solution

The fourth proportional to 458,361.76, 687,575.76 and 191,854.24 is: 287,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,361.76 : 687,575.76 = 191,854.24 : x
  2. Step 2: Convert to fraction form
    458,361.76/687,575.76 = 191,854.24/x
  3. Step 3: Cross multiply
    458,361.76x = 687,575.76 × 191,854.24
  4. Step 4: Simplify right side
    458,361.76x = 131,914,324,877.22
  5. Step 5: Solve for x
    x = 131,914,324,877.22/458,361.76
  6. Step 6: Final answer
    x = 287,795.22

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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.