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Finding the Fourth Proportional to 269,515,916.40, 404,272,562.40 and 105,637,882.80

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Solution

The fourth proportional to 269,515,916.40, 404,272,562.40 and 105,637,882.80 is: 158,456,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,515,916.40 : 404,272,562.40 = 105,637,882.80 : x
  2. Step 2: Convert to fraction form
    269,515,916.40/404,272,562.40 = 105,637,882.80/x
  3. Step 3: Cross multiply
    269,515,916.40x = 404,272,562.40 × 105,637,882.80
  4. Step 4: Simplify right side
    269,515,916.40x = 42,706,497,566,066,880
  5. Step 5: Solve for x
    x = 42,706,497,566,066,880/269,515,916.40
  6. Step 6: Final answer
    x = 158,456,309.88

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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.