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Finding the Fourth Proportional to 505,702.47, 697,890.67 and 290,842.75

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Solution

The fourth proportional to 505,702.47, 697,890.67 and 290,842.75 is: 401,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,702.47 : 697,890.67 = 290,842.75 : x
  2. Step 2: Convert to fraction form
    505,702.47/697,890.67 = 290,842.75/x
  3. Step 3: Cross multiply
    505,702.47x = 697,890.67 × 290,842.75
  4. Step 4: Simplify right side
    505,702.47x = 202,976,439,190.31
  5. Step 5: Solve for x
    x = 202,976,439,190.31/505,702.47
  6. Step 6: Final answer
    x = 401,375.22

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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.