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Finding the Fourth Proportional to 315,497.20, 472,324.20 and 282,319.60

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Solution

The fourth proportional to 315,497.20, 472,324.20 and 282,319.60 is: 422,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,497.20 : 472,324.20 = 282,319.60 : x
  2. Step 2: Convert to fraction form
    315,497.20/472,324.20 = 282,319.60/x
  3. Step 3: Cross multiply
    315,497.20x = 472,324.20 × 282,319.60
  4. Step 4: Simplify right side
    315,497.20x = 133,346,379,214.32
  5. Step 5: Solve for x
    x = 133,346,379,214.32/315,497.20
  6. Step 6: Final answer
    x = 422,654.72

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1.5x scale

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.