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Finding the Fourth Proportional to 282,520.98, 423,743.76 and 105,003.90

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Solution

The fourth proportional to 282,520.98, 423,743.76 and 105,003.90 is: 157,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,520.98 : 423,743.76 = 105,003.90 : x
  2. Step 2: Convert to fraction form
    282,520.98/423,743.76 = 105,003.90/x
  3. Step 3: Cross multiply
    282,520.98x = 423,743.76 × 105,003.90
  4. Step 4: Simplify right side
    282,520.98x = 44,494,747,400.66
  5. Step 5: Solve for x
    x = 44,494,747,400.66/282,520.98
  6. Step 6: Final answer
    x = 157,491.83

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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.