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Finding the Fourth Proportional to 320,314.96, 480,649.79 and 191,915.72

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Solution

The fourth proportional to 320,314.96, 480,649.79 and 191,915.72 is: 287,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,314.96 : 480,649.79 = 191,915.72 : x
  2. Step 2: Convert to fraction form
    320,314.96/480,649.79 = 191,915.72/x
  3. Step 3: Cross multiply
    320,314.96x = 480,649.79 × 191,915.72
  4. Step 4: Simplify right side
    320,314.96x = 92,244,249,556.12
  5. Step 5: Solve for x
    x = 92,244,249,556.12/320,314.96
  6. Step 6: Final answer
    x = 287,979.84

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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.