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Finding the Fourth Proportional to 279,360.25, 385,449.92 and 164,643.46

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Solution

The fourth proportional to 279,360.25, 385,449.92 and 164,643.46 is: 227,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,360.25 : 385,449.92 = 164,643.46 : x
  2. Step 2: Convert to fraction form
    279,360.25/385,449.92 = 164,643.46/x
  3. Step 3: Cross multiply
    279,360.25x = 385,449.92 × 164,643.46
  4. Step 4: Simplify right side
    279,360.25x = 63,461,807,662.31
  5. Step 5: Solve for x
    x = 63,461,807,662.31/279,360.25
  6. Step 6: Final answer
    x = 227,168.35

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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.