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Finding the Fourth Proportional to 477,077.50, 658,372.05 and 259,286.21

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Solution

The fourth proportional to 477,077.50, 658,372.05 and 259,286.21 is: 357,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,077.50 : 658,372.05 = 259,286.21 : x
  2. Step 2: Convert to fraction form
    477,077.50/658,372.05 = 259,286.21/x
  3. Step 3: Cross multiply
    477,077.50x = 658,372.05 × 259,286.21
  4. Step 4: Simplify right side
    477,077.50x = 170,706,796,494.81
  5. Step 5: Solve for x
    x = 170,706,796,494.81/477,077.50
  6. Step 6: Final answer
    x = 357,817.75

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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.