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Finding the Fourth Proportional to 320,156.60, 480,253.67 and 120,478.71

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Solution

The fourth proportional to 320,156.60, 480,253.67 and 120,478.71 is: 180,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,156.60 : 480,253.67 = 120,478.71 : x
  2. Step 2: Convert to fraction form
    320,156.60/480,253.67 = 120,478.71/x
  3. Step 3: Cross multiply
    320,156.60x = 480,253.67 × 120,478.71
  4. Step 4: Simplify right side
    320,156.60x = 57,860,342,031.97
  5. Step 5: Solve for x
    x = 57,860,342,031.97/320,156.60
  6. Step 6: Final answer
    x = 180,725.13

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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.