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Finding the Fourth Proportional to 442,401.60, 663,440.40 and 142,960.80

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Solution

The fourth proportional to 442,401.60, 663,440.40 and 142,960.80 is: 214,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,401.60 : 663,440.40 = 142,960.80 : x
  2. Step 2: Convert to fraction form
    442,401.60/663,440.40 = 142,960.80/x
  3. Step 3: Cross multiply
    442,401.60x = 663,440.40 × 142,960.80
  4. Step 4: Simplify right side
    442,401.60x = 94,845,970,336.32
  5. Step 5: Solve for x
    x = 94,845,970,336.32/442,401.60
  6. Step 6: Final answer
    x = 214,388.85

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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.