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Finding the Fourth Proportional to 413,525.70, 620,304.35 and 129,242.43

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Solution

The fourth proportional to 413,525.70, 620,304.35 and 129,242.43 is: 193,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525.70 : 620,304.35 = 129,242.43 : x
  2. Step 2: Convert to fraction form
    413,525.70/620,304.35 = 129,242.43/x
  3. Step 3: Cross multiply
    413,525.70x = 620,304.35 × 129,242.43
  4. Step 4: Simplify right side
    413,525.70x = 80,169,640,887.36
  5. Step 5: Solve for x
    x = 80,169,640,887.36/413,525.70
  6. Step 6: Final answer
    x = 193,868.58

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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.