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Finding the Fourth Proportional to 503,983.24, 695,375.94 and 286,143.64

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Solution

The fourth proportional to 503,983.24, 695,375.94 and 286,143.64 is: 394,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,983.24 : 695,375.94 = 286,143.64 : x
  2. Step 2: Convert to fraction form
    503,983.24/695,375.94 = 286,143.64/x
  3. Step 3: Cross multiply
    503,983.24x = 695,375.94 × 286,143.64
  4. Step 4: Simplify right side
    503,983.24x = 198,977,402,640.02
  5. Step 5: Solve for x
    x = 198,977,402,640.02/503,983.24
  6. Step 6: Final answer
    x = 394,809.56

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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.