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Finding the Fourth Proportional to 283,803.12, 391,651.38 and 156,483.27

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Solution

The fourth proportional to 283,803.12, 391,651.38 and 156,483.27 is: 215,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,803.12 : 391,651.38 = 156,483.27 : x
  2. Step 2: Convert to fraction form
    283,803.12/391,651.38 = 156,483.27/x
  3. Step 3: Cross multiply
    283,803.12x = 391,651.38 × 156,483.27
  4. Step 4: Simplify right side
    283,803.12x = 61,286,888,642.41
  5. Step 5: Solve for x
    x = 61,286,888,642.41/283,803.12
  6. Step 6: Final answer
    x = 215,948.61

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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.