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Finding the Fourth Proportional to 493,319.80, 739,655.70 and 193,619.80

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Solution

The fourth proportional to 493,319.80, 739,655.70 and 193,619.80 is: 290,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,319.80 : 739,655.70 = 193,619.80 : x
  2. Step 2: Convert to fraction form
    493,319.80/739,655.70 = 193,619.80/x
  3. Step 3: Cross multiply
    493,319.80x = 739,655.70 × 193,619.80
  4. Step 4: Simplify right side
    493,319.80x = 143,211,988,702.86
  5. Step 5: Solve for x
    x = 143,211,988,702.86/493,319.80
  6. Step 6: Final answer
    x = 290,302.54

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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.