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Finding the Fourth Proportional to 279,637.80, 385,847.04 and 164,952.48

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Solution

The fourth proportional to 279,637.80, 385,847.04 and 164,952.48 is: 227,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,637.80 : 385,847.04 = 164,952.48 : x
  2. Step 2: Convert to fraction form
    279,637.80/385,847.04 = 164,952.48/x
  3. Step 3: Cross multiply
    279,637.80x = 385,847.04 × 164,952.48
  4. Step 4: Simplify right side
    279,637.80x = 63,646,426,148.66
  5. Step 5: Solve for x
    x = 63,646,426,148.66/279,637.80
  6. Step 6: Final answer
    x = 227,603.09

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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.