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Finding the Fourth Proportional to 412,548.98, 618,344.54 and 156,218.54

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Solution

The fourth proportional to 412,548.98, 618,344.54 and 156,218.54 is: 234,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,548.98 : 618,344.54 = 156,218.54 : x
  2. Step 2: Convert to fraction form
    412,548.98/618,344.54 = 156,218.54/x
  3. Step 3: Cross multiply
    412,548.98x = 618,344.54 × 156,218.54
  4. Step 4: Simplify right side
    412,548.98x = 96,596,881,255.77
  5. Step 5: Solve for x
    x = 96,596,881,255.77/412,548.98
  6. Step 6: Final answer
    x = 234,146.46

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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.