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Finding the Fourth Proportional to 501,663.22, 692,098.17 and 286,687.96

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Solution

The fourth proportional to 501,663.22, 692,098.17 and 286,687.96 is: 395,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,663.22 : 692,098.17 = 286,687.96 : x
  2. Step 2: Convert to fraction form
    501,663.22/692,098.17 = 286,687.96/x
  3. Step 3: Cross multiply
    501,663.22x = 692,098.17 × 286,687.96
  4. Step 4: Simplify right side
    501,663.22x = 198,416,211,284.33
  5. Step 5: Solve for x
    x = 198,416,211,284.33/501,663.22
  6. Step 6: Final answer
    x = 395,516.76

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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.