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Finding the Fourth Proportional to 409,780.80, 614,379.60 and 156,963.60

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Solution

The fourth proportional to 409,780.80, 614,379.60 and 156,963.60 is: 235,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,780.80 : 614,379.60 = 156,963.60 : x
  2. Step 2: Convert to fraction form
    409,780.80/614,379.60 = 156,963.60/x
  3. Step 3: Cross multiply
    409,780.80x = 614,379.60 × 156,963.60
  4. Step 4: Simplify right side
    409,780.80x = 96,435,233,782.56
  5. Step 5: Solve for x
    x = 96,435,233,782.56/409,780.80
  6. Step 6: Final answer
    x = 235,333.70

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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.