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Finding the Fourth Proportional to 415,709.30, 623,097.38 and 205,494.86

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Solution

The fourth proportional to 415,709.30, 623,097.38 and 205,494.86 is: 308,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,709.30 : 623,097.38 = 205,494.86 : x
  2. Step 2: Convert to fraction form
    415,709.30/623,097.38 = 205,494.86/x
  3. Step 3: Cross multiply
    415,709.30x = 623,097.38 × 205,494.86
  4. Step 4: Simplify right side
    415,709.30x = 128,043,304,726.51
  5. Step 5: Solve for x
    x = 128,043,304,726.51/415,709.30
  6. Step 6: Final answer
    x = 308,011.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.