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Finding the Fourth Proportional to 744,817, 1,027,838.82 and 405,279.40

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Solution

The fourth proportional to 744,817, 1,027,838.82 and 405,279.40 is: 559,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,817 : 1,027,838.82 = 405,279.40 : x
  2. Step 2: Convert to fraction form
    744,817/1,027,838.82 = 405,279.40/x
  3. Step 3: Cross multiply
    744,817x = 1,027,838.82 × 405,279.40
  4. Step 4: Simplify right side
    744,817x = 416,561,900,266.31
  5. Step 5: Solve for x
    x = 416,561,900,266.31/744,817
  6. Step 6: Final answer
    x = 559,280.87

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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.