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Finding the Fourth Proportional to 458,954.64, 687,847.82 and 259,386.30

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Solution

The fourth proportional to 458,954.64, 687,847.82 and 259,386.30 is: 388,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,954.64 : 687,847.82 = 259,386.30 : x
  2. Step 2: Convert to fraction form
    458,954.64/687,847.82 = 259,386.30/x
  3. Step 3: Cross multiply
    458,954.64x = 687,847.82 × 259,386.30
  4. Step 4: Simplify right side
    458,954.64x = 178,418,299,695.93
  5. Step 5: Solve for x
    x = 178,418,299,695.93/458,954.64
  6. Step 6: Final answer
    x = 388,749.31

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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.