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Finding the Fourth Proportional to 413,458.70, 620,360.85 and 133,061.90

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Solution

The fourth proportional to 413,458.70, 620,360.85 and 133,061.90 is: 199,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,458.70 : 620,360.85 = 133,061.90 : x
  2. Step 2: Convert to fraction form
    413,458.70/620,360.85 = 133,061.90/x
  3. Step 3: Cross multiply
    413,458.70x = 620,360.85 × 133,061.90
  4. Step 4: Simplify right side
    413,458.70x = 82,546,393,386.62
  5. Step 5: Solve for x
    x = 82,546,393,386.62/413,458.70
  6. Step 6: Final answer
    x = 199,648.46

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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.