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Finding the Fourth Proportional to 564,375.41, 778,847.57 and 309,750.29

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Solution

The fourth proportional to 564,375.41, 778,847.57 and 309,750.29 is: 427,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,375.41 : 778,847.57 = 309,750.29 : x
  2. Step 2: Convert to fraction form
    564,375.41/778,847.57 = 309,750.29/x
  3. Step 3: Cross multiply
    564,375.41x = 778,847.57 × 309,750.29
  4. Step 4: Simplify right side
    564,375.41x = 241,248,259,124.54
  5. Step 5: Solve for x
    x = 241,248,259,124.54/564,375.41
  6. Step 6: Final answer
    x = 427,460.61

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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.