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Finding the Fourth Proportional to 413,539.10, 620,395.05 and 133,084.70

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Solution

The fourth proportional to 413,539.10, 620,395.05 and 133,084.70 is: 199,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,539.10 : 620,395.05 = 133,084.70 : x
  2. Step 2: Convert to fraction form
    413,539.10/620,395.05 = 133,084.70/x
  3. Step 3: Cross multiply
    413,539.10x = 620,395.05 × 133,084.70
  4. Step 4: Simplify right side
    413,539.10x = 82,565,089,110.74
  5. Step 5: Solve for x
    x = 82,565,089,110.74/413,539.10
  6. Step 6: Final answer
    x = 199,654.86

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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.