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Finding the Fourth Proportional to 320,349.60, 480,411.30 and 140,522.37

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Solution

The fourth proportional to 320,349.60, 480,411.30 and 140,522.37 is: 210,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,349.60 : 480,411.30 = 140,522.37 : x
  2. Step 2: Convert to fraction form
    320,349.60/480,411.30 = 140,522.37/x
  3. Step 3: Cross multiply
    320,349.60x = 480,411.30 × 140,522.37
  4. Step 4: Simplify right side
    320,349.60x = 67,508,534,450.78
  5. Step 5: Solve for x
    x = 67,508,534,450.78/320,349.60
  6. Step 6: Final answer
    x = 210,733.94

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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.