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Finding the Fourth Proportional to 415,715.74, 573,843.71 and 272,485.01

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Solution

The fourth proportional to 415,715.74, 573,843.71 and 272,485.01 is: 376,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,715.74 : 573,843.71 = 272,485.01 : x
  2. Step 2: Convert to fraction form
    415,715.74/573,843.71 = 272,485.01/x
  3. Step 3: Cross multiply
    415,715.74x = 573,843.71 × 272,485.01
  4. Step 4: Simplify right side
    415,715.74x = 156,363,806,869.78
  5. Step 5: Solve for x
    x = 156,363,806,869.78/415,715.74
  6. Step 6: Final answer
    x = 376,131.56

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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.