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Finding the Fourth Proportional to 493,482.40, 739,705.20 and 193,847.20

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Solution

The fourth proportional to 493,482.40, 739,705.20 and 193,847.20 is: 290,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,482.40 : 739,705.20 = 193,847.20 : x
  2. Step 2: Convert to fraction form
    493,482.40/739,705.20 = 193,847.20/x
  3. Step 3: Cross multiply
    493,482.40x = 739,705.20 × 193,847.20
  4. Step 4: Simplify right side
    493,482.40x = 143,389,781,845.44
  5. Step 5: Solve for x
    x = 143,389,781,845.44/493,482.40
  6. Step 6: Final answer
    x = 290,567.16

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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.