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Finding the Fourth Proportional to 493,006.10, 739,605.01 and 189,378.06

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Solution

The fourth proportional to 493,006.10, 739,605.01 and 189,378.06 is: 284,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,006.10 : 739,605.01 = 189,378.06 : x
  2. Step 2: Convert to fraction form
    493,006.10/739,605.01 = 189,378.06/x
  3. Step 3: Cross multiply
    493,006.10x = 739,605.01 × 189,378.06
  4. Step 4: Simplify right side
    493,006.10x = 140,064,961,486.64
  5. Step 5: Solve for x
    x = 140,064,961,486.64/493,006.10
  6. Step 6: Final answer
    x = 284,103.91

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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.