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Finding the Fourth Proportional to 279,006.30, 385,030.23 and 164,289.90

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Solution

The fourth proportional to 279,006.30, 385,030.23 and 164,289.90 is: 226,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,006.30 : 385,030.23 = 164,289.90 : x
  2. Step 2: Convert to fraction form
    279,006.30/385,030.23 = 164,289.90/x
  3. Step 3: Cross multiply
    279,006.30x = 385,030.23 × 164,289.90
  4. Step 4: Simplify right side
    279,006.30x = 63,256,577,983.68
  5. Step 5: Solve for x
    x = 63,256,577,983.68/279,006.30
  6. Step 6: Final answer
    x = 226,720.97

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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.