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Finding the Fourth Proportional to 564,398.80, 778,845.96 and 309,754.32

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Solution

The fourth proportional to 564,398.80, 778,845.96 and 309,754.32 is: 427,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,398.80 : 778,845.96 = 309,754.32 : x
  2. Step 2: Convert to fraction form
    564,398.80/778,845.96 = 309,754.32/x
  3. Step 3: Cross multiply
    564,398.80x = 778,845.96 × 309,754.32
  4. Step 4: Simplify right side
    564,398.80x = 241,250,900,724.55
  5. Step 5: Solve for x
    x = 241,250,900,724.55/564,398.80
  6. Step 6: Final answer
    x = 427,447.58

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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.