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Finding the Fourth Proportional to 279,617.10, 385,911.86 and 202,343.64

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Solution

The fourth proportional to 279,617.10, 385,911.86 and 202,343.64 is: 279,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,617.10 : 385,911.86 = 202,343.64 : x
  2. Step 2: Convert to fraction form
    279,617.10/385,911.86 = 202,343.64/x
  3. Step 3: Cross multiply
    279,617.10x = 385,911.86 × 202,343.64
  4. Step 4: Simplify right side
    279,617.10x = 78,086,809,459.85
  5. Step 5: Solve for x
    x = 78,086,809,459.85/279,617.10
  6. Step 6: Final answer
    x = 279,263.35

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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.