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Finding the Fourth Proportional to 288,963.36, 398,747.70 and 161,614.35

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Solution

The fourth proportional to 288,963.36, 398,747.70 and 161,614.35 is: 223,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,963.36 : 398,747.70 = 161,614.35 : x
  2. Step 2: Convert to fraction form
    288,963.36/398,747.70 = 161,614.35/x
  3. Step 3: Cross multiply
    288,963.36x = 398,747.70 × 161,614.35
  4. Step 4: Simplify right side
    288,963.36x = 64,443,350,349.50
  5. Step 5: Solve for x
    x = 64,443,350,349.50/288,963.36
  6. Step 6: Final answer
    x = 223,015.65

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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.