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Finding the Fourth Proportional to 283,693.50, 391,492.36 and 156,380.94

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Solution

The fourth proportional to 283,693.50, 391,492.36 and 156,380.94 is: 215,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,693.50 : 391,492.36 = 156,380.94 : x
  2. Step 2: Convert to fraction form
    283,693.50/391,492.36 = 156,380.94/x
  3. Step 3: Cross multiply
    283,693.50x = 391,492.36 × 156,380.94
  4. Step 4: Simplify right side
    283,693.50x = 61,221,943,259.62
  5. Step 5: Solve for x
    x = 61,221,943,259.62/283,693.50
  6. Step 6: Final answer
    x = 215,803.12

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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.