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Finding the Fourth Proportional to 442,199.20, 663,393.24 and 142,696.80

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Solution

The fourth proportional to 442,199.20, 663,393.24 and 142,696.80 is: 214,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,199.20 : 663,393.24 = 142,696.80 : x
  2. Step 2: Convert to fraction form
    442,199.20/663,393.24 = 142,696.80/x
  3. Step 3: Cross multiply
    442,199.20x = 663,393.24 × 142,696.80
  4. Step 4: Simplify right side
    442,199.20x = 94,664,092,489.63
  5. Step 5: Solve for x
    x = 94,664,092,489.63/442,199.20
  6. Step 6: Final answer
    x = 214,075.68

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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.