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Finding the Fourth Proportional to 315,285.24, 472,922.88 and 146,711.28

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Solution

The fourth proportional to 315,285.24, 472,922.88 and 146,711.28 is: 220,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,285.24 : 472,922.88 = 146,711.28 : x
  2. Step 2: Convert to fraction form
    315,285.24/472,922.88 = 146,711.28/x
  3. Step 3: Cross multiply
    315,285.24x = 472,922.88 × 146,711.28
  4. Step 4: Simplify right side
    315,285.24x = 69,383,121,066.09
  5. Step 5: Solve for x
    x = 69,383,121,066.09/315,285.24
  6. Step 6: Final answer
    x = 220,064.60

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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.