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Finding the Fourth Proportional to 283,658.48, 391,441 and 156,334.04

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Solution

The fourth proportional to 283,658.48, 391,441 and 156,334.04 is: 215,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,658.48 : 391,441 = 156,334.04 : x
  2. Step 2: Convert to fraction form
    283,658.48/391,441 = 156,334.04/x
  3. Step 3: Cross multiply
    283,658.48x = 391,441 × 156,334.04
  4. Step 4: Simplify right side
    283,658.48x = 61,195,552,951.64
  5. Step 5: Solve for x
    x = 61,195,552,951.64/283,658.48
  6. Step 6: Final answer
    x = 215,736.73

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1.5x scale

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.