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Finding the Fourth Proportional to 413,582.20, 620,373.30 and 133,099.45

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Solution

The fourth proportional to 413,582.20, 620,373.30 and 133,099.45 is: 199,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,582.20 : 620,373.30 = 133,099.45 : x
  2. Step 2: Convert to fraction form
    413,582.20/620,373.30 = 133,099.45/x
  3. Step 3: Cross multiply
    413,582.20x = 620,373.30 × 133,099.45
  4. Step 4: Simplify right side
    413,582.20x = 82,571,345,024.69
  5. Step 5: Solve for x
    x = 82,571,345,024.69/413,582.20
  6. Step 6: Final answer
    x = 199,649.18

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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.