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Finding the Fourth Proportional to 361,955.52, 499,492.20 and 200,807.81

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Solution

The fourth proportional to 361,955.52, 499,492.20 and 200,807.81 is: 277,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,955.52 : 499,492.20 = 200,807.81 : x
  2. Step 2: Convert to fraction form
    361,955.52/499,492.20 = 200,807.81/x
  3. Step 3: Cross multiply
    361,955.52x = 499,492.20 × 200,807.81
  4. Step 4: Simplify right side
    361,955.52x = 100,301,934,922.75
  5. Step 5: Solve for x
    x = 100,301,934,922.75/361,955.52
  6. Step 6: Final answer
    x = 277,111.22

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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.