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Finding the Fourth Proportional to 315,580.20, 472,448.70 and 282,402.60

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Solution

The fourth proportional to 315,580.20, 472,448.70 and 282,402.60 is: 422,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,580.20 : 472,448.70 = 282,402.60 : x
  2. Step 2: Convert to fraction form
    315,580.20/472,448.70 = 282,402.60/x
  3. Step 3: Cross multiply
    315,580.20x = 472,448.70 × 282,402.60
  4. Step 4: Simplify right side
    315,580.20x = 133,420,741,246.62
  5. Step 5: Solve for x
    x = 133,420,741,246.62/315,580.20
  6. Step 6: Final answer
    x = 422,779.19

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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.