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Finding the Fourth Proportional to 659,512.60, 988,576.32 and 419,810.10

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Solution

The fourth proportional to 659,512.60, 988,576.32 and 419,810.10 is: 629,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,512.60 : 988,576.32 = 419,810.10 : x
  2. Step 2: Convert to fraction form
    659,512.60/988,576.32 = 419,810.10/x
  3. Step 3: Cross multiply
    659,512.60x = 988,576.32 × 419,810.10
  4. Step 4: Simplify right side
    659,512.60x = 415,014,323,756.83
  5. Step 5: Solve for x
    x = 415,014,323,756.83/659,512.60
  6. Step 6: Final answer
    x = 629,274.29

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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.