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Finding the Fourth Proportional to 472,728, 708,694.28 and 219,880.04

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Solution

The fourth proportional to 472,728, 708,694.28 and 219,880.04 is: 329,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728 : 708,694.28 = 219,880.04 : x
  2. Step 2: Convert to fraction form
    472,728/708,694.28 = 219,880.04/x
  3. Step 3: Cross multiply
    472,728x = 708,694.28 × 219,880.04
  4. Step 4: Simplify right side
    472,728x = 155,827,726,634.17
  5. Step 5: Solve for x
    x = 155,827,726,634.17/472,728
  6. Step 6: Final answer
    x = 329,635.07

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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.