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Finding the Fourth Proportional to 279,365, 385,456.46 and 164,648.22

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Solution

The fourth proportional to 279,365, 385,456.46 and 164,648.22 is: 227,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,365 : 385,456.46 = 164,648.22 : x
  2. Step 2: Convert to fraction form
    279,365/385,456.46 = 164,648.22/x
  3. Step 3: Cross multiply
    279,365x = 385,456.46 × 164,648.22
  4. Step 4: Simplify right side
    279,365x = 63,464,720,026.50
  5. Step 5: Solve for x
    x = 63,464,720,026.50/279,365
  6. Step 6: Final answer
    x = 227,174.91

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1.5x scale

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.