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Finding the Fourth Proportional to 279,359.75, 385,449.23 and 164,642.96

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Solution

The fourth proportional to 279,359.75, 385,449.23 and 164,642.96 is: 227,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,359.75 : 385,449.23 = 164,642.96 : x
  2. Step 2: Convert to fraction form
    279,359.75/385,449.23 = 164,642.96/x
  3. Step 3: Cross multiply
    279,359.75x = 385,449.23 × 164,642.96
  4. Step 4: Simplify right side
    279,359.75x = 63,461,501,333.71
  5. Step 5: Solve for x
    x = 63,461,501,333.71/279,359.75
  6. Step 6: Final answer
    x = 227,167.66

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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.