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Finding the Fourth Proportional to 561,213.36, 774,471.38 and 306,562.73

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Solution

The fourth proportional to 561,213.36, 774,471.38 and 306,562.73 is: 423,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,213.36 : 774,471.38 = 306,562.73 : x
  2. Step 2: Convert to fraction form
    561,213.36/774,471.38 = 306,562.73/x
  3. Step 3: Cross multiply
    561,213.36x = 774,471.38 × 306,562.73
  4. Step 4: Simplify right side
    561,213.36x = 237,424,055,154.50
  5. Step 5: Solve for x
    x = 237,424,055,154.50/561,213.36
  6. Step 6: Final answer
    x = 423,054.89

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Double scale
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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.