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Finding the Fourth Proportional to 400,639.96, 601,253.97 and 322,695.28

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Solution

The fourth proportional to 400,639.96, 601,253.97 and 322,695.28 is: 484,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,639.96 : 601,253.97 = 322,695.28 : x
  2. Step 2: Convert to fraction form
    400,639.96/601,253.97 = 322,695.28/x
  3. Step 3: Cross multiply
    400,639.96x = 601,253.97 × 322,695.28
  4. Step 4: Simplify right side
    400,639.96x = 194,021,818,200.26
  5. Step 5: Solve for x
    x = 194,021,818,200.26/400,639.96
  6. Step 6: Final answer
    x = 484,279.75

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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.