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Finding the Fourth Proportional to 282,456, 423,683.62 and 72,093.96

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Solution

The fourth proportional to 282,456, 423,683.62 and 72,093.96 is: 108,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,456 : 423,683.62 = 72,093.96 : x
  2. Step 2: Convert to fraction form
    282,456/423,683.62 = 72,093.96/x
  3. Step 3: Cross multiply
    282,456x = 423,683.62 × 72,093.96
  4. Step 4: Simplify right side
    282,456x = 30,545,029,952.94
  5. Step 5: Solve for x
    x = 30,545,029,952.94/282,456
  6. Step 6: Final answer
    x = 108,140.84

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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.