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Finding the Fourth Proportional to 561,123.94, 774,351.03 and 306,475.73

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Solution

The fourth proportional to 561,123.94, 774,351.03 and 306,475.73 is: 422,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,123.94 : 774,351.03 = 306,475.73 : x
  2. Step 2: Convert to fraction form
    561,123.94/774,351.03 = 306,475.73/x
  3. Step 3: Cross multiply
    561,123.94x = 774,351.03 × 306,475.73
  4. Step 4: Simplify right side
    561,123.94x = 237,319,800,280.66
  5. Step 5: Solve for x
    x = 237,319,800,280.66/561,123.94
  6. Step 6: Final answer
    x = 422,936.51

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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.