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Finding the Fourth Proportional to 282,997.23, 424,495.85 and 193,980.87

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Solution

The fourth proportional to 282,997.23, 424,495.85 and 193,980.87 is: 290,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,997.23 : 424,495.85 = 193,980.87 : x
  2. Step 2: Convert to fraction form
    282,997.23/424,495.85 = 193,980.87/x
  3. Step 3: Cross multiply
    282,997.23x = 424,495.85 × 193,980.87
  4. Step 4: Simplify right side
    282,997.23x = 82,344,073,324.49
  5. Step 5: Solve for x
    x = 82,344,073,324.49/282,997.23
  6. Step 6: Final answer
    x = 290,971.31

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1.5x scale

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.