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Finding the Fourth Proportional to 436,124.64, 653,716.80 and 211,009.44

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Solution

The fourth proportional to 436,124.64, 653,716.80 and 211,009.44 is: 316,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,124.64 : 653,716.80 = 211,009.44 : x
  2. Step 2: Convert to fraction form
    436,124.64/653,716.80 = 211,009.44/x
  3. Step 3: Cross multiply
    436,124.64x = 653,716.80 × 211,009.44
  4. Step 4: Simplify right side
    436,124.64x = 137,940,415,886.59
  5. Step 5: Solve for x
    x = 137,940,415,886.59/436,124.64
  6. Step 6: Final answer
    x = 316,286.68

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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.