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Finding the Fourth Proportional to 465,904.30, 697,872.30 and 387,172.30

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Solution

The fourth proportional to 465,904.30, 697,872.30 and 387,172.30 is: 579,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,904.30 : 697,872.30 = 387,172.30 : x
  2. Step 2: Convert to fraction form
    465,904.30/697,872.30 = 387,172.30/x
  3. Step 3: Cross multiply
    465,904.30x = 697,872.30 × 387,172.30
  4. Step 4: Simplify right side
    465,904.30x = 270,196,823,497.29
  5. Step 5: Solve for x
    x = 270,196,823,497.29/465,904.30
  6. Step 6: Final answer
    x = 579,940.61

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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.