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Finding the Fourth Proportional to 561,427.60, 774,760.80 and 306,772.96

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Solution

The fourth proportional to 561,427.60, 774,760.80 and 306,772.96 is: 423,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,427.60 : 774,760.80 = 306,772.96 : x
  2. Step 2: Convert to fraction form
    561,427.60/774,760.80 = 306,772.96/x
  3. Step 3: Cross multiply
    561,427.60x = 774,760.80 × 306,772.96
  4. Step 4: Simplify right side
    561,427.60x = 237,675,663,907.97
  5. Step 5: Solve for x
    x = 237,675,663,907.97/561,427.60
  6. Step 6: Final answer
    x = 423,341.61

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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.