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Finding the Fourth Proportional to 279,358.50, 385,447.50 and 164,641.71

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Solution

The fourth proportional to 279,358.50, 385,447.50 and 164,641.71 is: 227,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,358.50 : 385,447.50 = 164,641.71 : x
  2. Step 2: Convert to fraction form
    279,358.50/385,447.50 = 164,641.71/x
  3. Step 3: Cross multiply
    279,358.50x = 385,447.50 × 164,641.71
  4. Step 4: Simplify right side
    279,358.50x = 63,460,735,515.23
  5. Step 5: Solve for x
    x = 63,460,735,515.23/279,358.50
  6. Step 6: Final answer
    x = 227,165.94

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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.