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Finding the Fourth Proportional to 288,564.08, 398,217.58 and 161,239.78

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Solution

The fourth proportional to 288,564.08, 398,217.58 and 161,239.78 is: 222,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564.08 : 398,217.58 = 161,239.78 : x
  2. Step 2: Convert to fraction form
    288,564.08/398,217.58 = 161,239.78/x
  3. Step 3: Cross multiply
    288,564.08x = 398,217.58 × 161,239.78
  4. Step 4: Simplify right side
    288,564.08x = 64,208,513,592.69
  5. Step 5: Solve for x
    x = 64,208,513,592.69/288,564.08
  6. Step 6: Final answer
    x = 222,510.41

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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.