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Finding the Fourth Proportional to 363,478.10, 501,646.86 and 208,489.86

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Solution

The fourth proportional to 363,478.10, 501,646.86 and 208,489.86 is: 287,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,478.10 : 501,646.86 = 208,489.86 : x
  2. Step 2: Convert to fraction form
    363,478.10/501,646.86 = 208,489.86/x
  3. Step 3: Cross multiply
    363,478.10x = 501,646.86 × 208,489.86
  4. Step 4: Simplify right side
    363,478.10x = 104,588,283,610.84
  5. Step 5: Solve for x
    x = 104,588,283,610.84/363,478.10
  6. Step 6: Final answer
    x = 287,743.02

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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.