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Finding the Fourth Proportional to 501,518.27, 692,143.83 and 286,617.27

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Solution

The fourth proportional to 501,518.27, 692,143.83 and 286,617.27 is: 395,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,518.27 : 692,143.83 = 286,617.27 : x
  2. Step 2: Convert to fraction form
    501,518.27/692,143.83 = 286,617.27/x
  3. Step 3: Cross multiply
    501,518.27x = 692,143.83 × 286,617.27
  4. Step 4: Simplify right side
    501,518.27x = 198,380,375,001.94
  5. Step 5: Solve for x
    x = 198,380,375,001.94/501,518.27
  6. Step 6: Final answer
    x = 395,559.62

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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.