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Finding the Fourth Proportional to 505,269.52, 697,247.44 and 287,457.70

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Solution

The fourth proportional to 505,269.52, 697,247.44 and 287,457.70 is: 396,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,269.52 : 697,247.44 = 287,457.70 : x
  2. Step 2: Convert to fraction form
    505,269.52/697,247.44 = 287,457.70/x
  3. Step 3: Cross multiply
    505,269.52x = 697,247.44 × 287,457.70
  4. Step 4: Simplify right side
    505,269.52x = 200,429,145,433.29
  5. Step 5: Solve for x
    x = 200,429,145,433.29/505,269.52
  6. Step 6: Final answer
    x = 396,677.69

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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.