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Finding the Fourth Proportional to 505,692.12, 697,875.30 and 290,832.06

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Solution

The fourth proportional to 505,692.12, 697,875.30 and 290,832.06 is: 401,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,692.12 : 697,875.30 = 290,832.06 : x
  2. Step 2: Convert to fraction form
    505,692.12/697,875.30 = 290,832.06/x
  3. Step 3: Cross multiply
    505,692.12x = 697,875.30 × 290,832.06
  4. Step 4: Simplify right side
    505,692.12x = 202,964,511,122.12
  5. Step 5: Solve for x
    x = 202,964,511,122.12/505,692.12
  6. Step 6: Final answer
    x = 401,359.85

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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.