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Finding the Fourth Proportional to 397,753.12, 548,923.80 and 228,012.76

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Solution

The fourth proportional to 397,753.12, 548,923.80 and 228,012.76 is: 314,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,753.12 : 548,923.80 = 228,012.76 : x
  2. Step 2: Convert to fraction form
    397,753.12/548,923.80 = 228,012.76/x
  3. Step 3: Cross multiply
    397,753.12x = 548,923.80 × 228,012.76
  4. Step 4: Simplify right side
    397,753.12x = 125,161,630,667.69
  5. Step 5: Solve for x
    x = 125,161,630,667.69/397,753.12
  6. Step 6: Final answer
    x = 314,671.65

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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.