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Finding the Fourth Proportional to 283,458.56, 391,177.04 and 154,403.01

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Solution

The fourth proportional to 283,458.56, 391,177.04 and 154,403.01 is: 213,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,458.56 : 391,177.04 = 154,403.01 : x
  2. Step 2: Convert to fraction form
    283,458.56/391,177.04 = 154,403.01/x
  3. Step 3: Cross multiply
    283,458.56x = 391,177.04 × 154,403.01
  4. Step 4: Simplify right side
    283,458.56x = 60,398,911,646.88
  5. Step 5: Solve for x
    x = 60,398,911,646.88/283,458.56
  6. Step 6: Final answer
    x = 213,078.46

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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.