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Finding the Fourth Proportional to 355,141.26, 489,761.10 and 264,697.74

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Solution

The fourth proportional to 355,141.26, 489,761.10 and 264,697.74 is: 365,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,141.26 : 489,761.10 = 264,697.74 : x
  2. Step 2: Convert to fraction form
    355,141.26/489,761.10 = 264,697.74/x
  3. Step 3: Cross multiply
    355,141.26x = 489,761.10 × 264,697.74
  4. Step 4: Simplify right side
    355,141.26x = 129,638,656,309.91
  5. Step 5: Solve for x
    x = 129,638,656,309.91/355,141.26
  6. Step 6: Final answer
    x = 365,034.06

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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.