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Finding the Fourth Proportional to 283,642.36, 391,426.52 and 154,580.86

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Solution

The fourth proportional to 283,642.36, 391,426.52 and 154,580.86 is: 213,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.36 : 391,426.52 = 154,580.86 : x
  2. Step 2: Convert to fraction form
    283,642.36/391,426.52 = 154,580.86/x
  3. Step 3: Cross multiply
    283,642.36x = 391,426.52 × 154,580.86
  4. Step 4: Simplify right side
    283,642.36x = 60,507,047,804.79
  5. Step 5: Solve for x
    x = 60,507,047,804.79/283,642.36
  6. Step 6: Final answer
    x = 213,321.62

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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.