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Finding the Fourth Proportional to 285,207.15, 393,591.17 and 164,328.01

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Solution

The fourth proportional to 285,207.15, 393,591.17 and 164,328.01 is: 226,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,207.15 : 393,591.17 = 164,328.01 : x
  2. Step 2: Convert to fraction form
    285,207.15/393,591.17 = 164,328.01/x
  3. Step 3: Cross multiply
    285,207.15x = 393,591.17 × 164,328.01
  4. Step 4: Simplify right side
    285,207.15x = 64,678,053,719.67
  5. Step 5: Solve for x
    x = 64,678,053,719.67/285,207.15
  6. Step 6: Final answer
    x = 226,775.71

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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.