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Finding the Fourth Proportional to 442,046.40, 662,288.80 and 427,428.80

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Solution

The fourth proportional to 442,046.40, 662,288.80 and 427,428.80 is: 640,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,046.40 : 662,288.80 = 427,428.80 : x
  2. Step 2: Convert to fraction form
    442,046.40/662,288.80 = 427,428.80/x
  3. Step 3: Cross multiply
    442,046.40x = 662,288.80 × 427,428.80
  4. Step 4: Simplify right side
    442,046.40x = 283,081,307,037.44
  5. Step 5: Solve for x
    x = 283,081,307,037.44/442,046.40
  6. Step 6: Final answer
    x = 640,388.22

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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.