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Finding the Fourth Proportional to 318,720, 439,833.60 and 177,408

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Solution

The fourth proportional to 318,720, 439,833.60 and 177,408 is: 244,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,720 : 439,833.60 = 177,408 : x
  2. Step 2: Convert to fraction form
    318,720/439,833.60 = 177,408/x
  3. Step 3: Cross multiply
    318,720x = 439,833.60 × 177,408
  4. Step 4: Simplify right side
    318,720x = 78,029,999,308.80
  5. Step 5: Solve for x
    x = 78,029,999,308.80/318,720
  6. Step 6: Final answer
    x = 244,823.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.