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Finding the Fourth Proportional to 361,803, 499,294.38 and 200,665.08

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Solution

The fourth proportional to 361,803, 499,294.38 and 200,665.08 is: 276,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,803 : 499,294.38 = 200,665.08 : x
  2. Step 2: Convert to fraction form
    361,803/499,294.38 = 200,665.08/x
  3. Step 3: Cross multiply
    361,803x = 499,294.38 × 200,665.08
  4. Step 4: Simplify right side
    361,803x = 100,190,946,706.25
  5. Step 5: Solve for x
    x = 100,190,946,706.25/361,803
  6. Step 6: Final answer
    x = 276,921.27

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1.5x scale

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.