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Finding the Fourth Proportional to 269,416,009.80, 404,124,014.70 and 211,302,936.45

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Solution

The fourth proportional to 269,416,009.80, 404,124,014.70 and 211,302,936.45 is: 316,954,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,416,009.80 : 404,124,014.70 = 211,302,936.45 : x
  2. Step 2: Convert to fraction form
    269,416,009.80/404,124,014.70 = 211,302,936.45/x
  3. Step 3: Cross multiply
    269,416,009.80x = 404,124,014.70 × 211,302,936.45
  4. Step 4: Simplify right side
    269,416,009.80x = 85,392,590,996,072,960
  5. Step 5: Solve for x
    x = 85,392,590,996,072,960/269,416,009.80
  6. Step 6: Final answer
    x = 316,954,404.68

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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.