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Finding the Fourth Proportional to 505,730.67, 697,907.79 and 290,865.21

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Solution

The fourth proportional to 505,730.67, 697,907.79 and 290,865.21 is: 401,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,730.67 : 697,907.79 = 290,865.21 : x
  2. Step 2: Convert to fraction form
    505,730.67/697,907.79 = 290,865.21/x
  3. Step 3: Cross multiply
    505,730.67x = 697,907.79 × 290,865.21
  4. Step 4: Simplify right side
    505,730.67x = 202,997,095,898.99
  5. Step 5: Solve for x
    x = 202,997,095,898.99/505,730.67
  6. Step 6: Final answer
    x = 401,393.68

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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.