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Finding the Fourth Proportional to 413,212.80, 621,131.40 and 389,593.20

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Solution

The fourth proportional to 413,212.80, 621,131.40 and 389,593.20 is: 585,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,212.80 : 621,131.40 = 389,593.20 : x
  2. Step 2: Convert to fraction form
    413,212.80/621,131.40 = 389,593.20/x
  3. Step 3: Cross multiply
    413,212.80x = 621,131.40 × 389,593.20
  4. Step 4: Simplify right side
    413,212.80x = 241,988,569,746.48
  5. Step 5: Solve for x
    x = 241,988,569,746.48/413,212.80
  6. Step 6: Final answer
    x = 585,626.99

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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.