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Finding the Fourth Proportional to 279,618.10, 385,913.24 and 202,344.64

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Solution

The fourth proportional to 279,618.10, 385,913.24 and 202,344.64 is: 279,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,618.10 : 385,913.24 = 202,344.64 : x
  2. Step 2: Convert to fraction form
    279,618.10/385,913.24 = 202,344.64/x
  3. Step 3: Cross multiply
    279,618.10x = 385,913.24 × 202,344.64
  4. Step 4: Simplify right side
    279,618.10x = 78,087,475,619.03
  5. Step 5: Solve for x
    x = 78,087,475,619.03/279,618.10
  6. Step 6: Final answer
    x = 279,264.74

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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.