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Finding the Fourth Proportional to 496,319.74, 685,042.90 and 281,585.50

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Solution

The fourth proportional to 496,319.74, 685,042.90 and 281,585.50 is: 388,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,319.74 : 685,042.90 = 281,585.50 : x
  2. Step 2: Convert to fraction form
    496,319.74/685,042.90 = 281,585.50/x
  3. Step 3: Cross multiply
    496,319.74x = 685,042.90 × 281,585.50
  4. Step 4: Simplify right side
    496,319.74x = 192,898,147,517.95
  5. Step 5: Solve for x
    x = 192,898,147,517.95/496,319.74
  6. Step 6: Final answer
    x = 388,657.01

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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.