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Finding the Fourth Proportional to 505,472.88, 697,672.20 and 290,737

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Solution

The fourth proportional to 505,472.88, 697,672.20 and 290,737 is: 401,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,472.88 : 697,672.20 = 290,737 : x
  2. Step 2: Convert to fraction form
    505,472.88/697,672.20 = 290,737/x
  3. Step 3: Cross multiply
    505,472.88x = 697,672.20 × 290,737
  4. Step 4: Simplify right side
    505,472.88x = 202,839,122,411.40
  5. Step 5: Solve for x
    x = 202,839,122,411.40/505,472.88
  6. Step 6: Final answer
    x = 401,285.87

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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.