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Finding the Fourth Proportional to 260,915.94, 391,341.24 and 83,408.22

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Solution

The fourth proportional to 260,915.94, 391,341.24 and 83,408.22 is: 125,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,915.94 : 391,341.24 = 83,408.22 : x
  2. Step 2: Convert to fraction form
    260,915.94/391,341.24 = 83,408.22/x
  3. Step 3: Cross multiply
    260,915.94x = 391,341.24 × 83,408.22
  4. Step 4: Simplify right side
    260,915.94x = 32,641,076,240.99
  5. Step 5: Solve for x
    x = 32,641,076,240.99/260,915.94
  6. Step 6: Final answer
    x = 125,101.89

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1.5x scale

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.