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Finding the Fourth Proportional to 315,630.56, 435,612.12 and 200,920.88

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Solution

The fourth proportional to 315,630.56, 435,612.12 and 200,920.88 is: 277,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,630.56 : 435,612.12 = 200,920.88 : x
  2. Step 2: Convert to fraction form
    315,630.56/435,612.12 = 200,920.88/x
  3. Step 3: Cross multiply
    315,630.56x = 435,612.12 × 200,920.88
  4. Step 4: Simplify right side
    315,630.56x = 87,523,570,489.07
  5. Step 5: Solve for x
    x = 87,523,570,489.07/315,630.56
  6. Step 6: Final answer
    x = 277,297.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.