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Finding the Fourth Proportional to 564,331.74, 778,800.25 and 309,692.04

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Solution

The fourth proportional to 564,331.74, 778,800.25 and 309,692.04 is: 427,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,331.74 : 778,800.25 = 309,692.04 : x
  2. Step 2: Convert to fraction form
    564,331.74/778,800.25 = 309,692.04/x
  3. Step 3: Cross multiply
    564,331.74x = 778,800.25 × 309,692.04
  4. Step 4: Simplify right side
    564,331.74x = 241,188,238,175.01
  5. Step 5: Solve for x
    x = 241,188,238,175.01/564,331.74
  6. Step 6: Final answer
    x = 427,387.33

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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.