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Finding the Fourth Proportional to 711,388.08, 981,747 and 409,679.28

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Solution

The fourth proportional to 711,388.08, 981,747 and 409,679.28 is: 565,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,388.08 : 981,747 = 409,679.28 : x
  2. Step 2: Convert to fraction form
    711,388.08/981,747 = 409,679.28/x
  3. Step 3: Cross multiply
    711,388.08x = 981,747 × 409,679.28
  4. Step 4: Simplify right side
    711,388.08x = 402,201,404,102.16
  5. Step 5: Solve for x
    x = 402,201,404,102.16/711,388.08
  6. Step 6: Final answer
    x = 565,375.52

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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.