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Finding the Fourth Proportional to 407,987.31, 562,847.84 and 254,759.48

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Solution

The fourth proportional to 407,987.31, 562,847.84 and 254,759.48 is: 351,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,987.31 : 562,847.84 = 254,759.48 : x
  2. Step 2: Convert to fraction form
    407,987.31/562,847.84 = 254,759.48/x
  3. Step 3: Cross multiply
    407,987.31x = 562,847.84 × 254,759.48
  4. Step 4: Simplify right side
    407,987.31x = 143,390,826,614.56
  5. Step 5: Solve for x
    x = 143,390,826,614.56/407,987.31
  6. Step 6: Final answer
    x = 351,459.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.