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Finding the Fourth Proportional to 279,026.96, 384,928.52 and 202,378.64

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Solution

The fourth proportional to 279,026.96, 384,928.52 and 202,378.64 is: 279,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,026.96 : 384,928.52 = 202,378.64 : x
  2. Step 2: Convert to fraction form
    279,026.96/384,928.52 = 202,378.64/x
  3. Step 3: Cross multiply
    279,026.96x = 384,928.52 × 202,378.64
  4. Step 4: Simplify right side
    279,026.96x = 77,901,310,374.81
  5. Step 5: Solve for x
    x = 77,901,310,374.81/279,026.96
  6. Step 6: Final answer
    x = 279,189.19

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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.