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Finding the Fourth Proportional to 413,531.90, 620,405.85 and 133,055.90

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Solution

The fourth proportional to 413,531.90, 620,405.85 and 133,055.90 is: 199,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,531.90 : 620,405.85 = 133,055.90 : x
  2. Step 2: Convert to fraction form
    413,531.90/620,405.85 = 133,055.90/x
  3. Step 3: Cross multiply
    413,531.90x = 620,405.85 × 133,055.90
  4. Step 4: Simplify right side
    413,531.90x = 82,548,658,737.02
  5. Step 5: Solve for x
    x = 82,548,658,737.02/413,531.90
  6. Step 6: Final answer
    x = 199,618.60

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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.