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Finding the Fourth Proportional to 393,722.16, 590,756.28 and 206,690.16

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Solution

The fourth proportional to 393,722.16, 590,756.28 and 206,690.16 is: 310,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,722.16 : 590,756.28 = 206,690.16 : x
  2. Step 2: Convert to fraction form
    393,722.16/590,756.28 = 206,690.16/x
  3. Step 3: Cross multiply
    393,722.16x = 590,756.28 × 206,690.16
  4. Step 4: Simplify right side
    393,722.16x = 122,103,510,034.21
  5. Step 5: Solve for x
    x = 122,103,510,034.21/393,722.16
  6. Step 6: Final answer
    x = 310,126.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.