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Finding the Fourth Proportional to 456,011.98, 629,209.92 and 286,169.56

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Solution

The fourth proportional to 456,011.98, 629,209.92 and 286,169.56 is: 394,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,011.98 : 629,209.92 = 286,169.56 : x
  2. Step 2: Convert to fraction form
    456,011.98/629,209.92 = 286,169.56/x
  3. Step 3: Cross multiply
    456,011.98x = 629,209.92 × 286,169.56
  4. Step 4: Simplify right side
    456,011.98x = 180,060,725,454.15
  5. Step 5: Solve for x
    x = 180,060,725,454.15/456,011.98
  6. Step 6: Final answer
    x = 394,859.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.