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Finding the Fourth Proportional to 379,473.34, 523,728.23 and 226,518

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Solution

The fourth proportional to 379,473.34, 523,728.23 and 226,518 is: 312,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,473.34 : 523,728.23 = 226,518 : x
  2. Step 2: Convert to fraction form
    379,473.34/523,728.23 = 226,518/x
  3. Step 3: Cross multiply
    379,473.34x = 523,728.23 × 226,518
  4. Step 4: Simplify right side
    379,473.34x = 118,633,871,203.14
  5. Step 5: Solve for x
    x = 118,633,871,203.14/379,473.34
  6. Step 6: Final answer
    x = 312,627.68

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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.