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Finding the Fourth Proportional to 400,638.96, 601,252.47 and 322,694.28

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Solution

The fourth proportional to 400,638.96, 601,252.47 and 322,694.28 is: 484,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,638.96 : 601,252.47 = 322,694.28 : x
  2. Step 2: Convert to fraction form
    400,638.96/601,252.47 = 322,694.28/x
  3. Step 3: Cross multiply
    400,638.96x = 601,252.47 × 322,694.28
  4. Step 4: Simplify right side
    400,638.96x = 194,020,732,904.87
  5. Step 5: Solve for x
    x = 194,020,732,904.87/400,638.96
  6. Step 6: Final answer
    x = 484,278.25

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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.