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Finding the Fourth Proportional to 472,728.50, 708,695.01 and 219,880.52

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Solution

The fourth proportional to 472,728.50, 708,695.01 and 219,880.52 is: 329,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728.50 : 708,695.01 = 219,880.52 : x
  2. Step 2: Convert to fraction form
    472,728.50/708,695.01 = 219,880.52/x
  3. Step 3: Cross multiply
    472,728.50x = 708,695.01 × 219,880.52
  4. Step 4: Simplify right side
    472,728.50x = 155,828,227,320.21
  5. Step 5: Solve for x
    x = 155,828,227,320.21/472,728.50
  6. Step 6: Final answer
    x = 329,635.78

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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.