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Finding the Fourth Proportional to 283,604.78, 391,356.98 and 162,756.02

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Solution

The fourth proportional to 283,604.78, 391,356.98 and 162,756.02 is: 224,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,604.78 : 391,356.98 = 162,756.02 : x
  2. Step 2: Convert to fraction form
    283,604.78/391,356.98 = 162,756.02/x
  3. Step 3: Cross multiply
    283,604.78x = 391,356.98 × 162,756.02
  4. Step 4: Simplify right side
    283,604.78x = 63,695,704,464.02
  5. Step 5: Solve for x
    x = 63,695,704,464.02/283,604.78
  6. Step 6: Final answer
    x = 224,593.20

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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.