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Finding the Fourth Proportional to 564,504.60, 779,025.18 and 309,879

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Solution

The fourth proportional to 564,504.60, 779,025.18 and 309,879 is: 427,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,504.60 : 779,025.18 = 309,879 : x
  2. Step 2: Convert to fraction form
    564,504.60/779,025.18 = 309,879/x
  3. Step 3: Cross multiply
    564,504.60x = 779,025.18 × 309,879
  4. Step 4: Simplify right side
    564,504.60x = 241,403,543,753.22
  5. Step 5: Solve for x
    x = 241,403,543,753.22/564,504.60
  6. Step 6: Final answer
    x = 427,637.87

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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.