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Finding the Fourth Proportional to 295,157.10, 442,735.64 and 280,815.85

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Solution

The fourth proportional to 295,157.10, 442,735.64 and 280,815.85 is: 421,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,157.10 : 442,735.64 = 280,815.85 : x
  2. Step 2: Convert to fraction form
    295,157.10/442,735.64 = 280,815.85/x
  3. Step 3: Cross multiply
    295,157.10x = 442,735.64 × 280,815.85
  4. Step 4: Simplify right side
    295,157.10x = 124,327,184,667.10
  5. Step 5: Solve for x
    x = 124,327,184,667.10/295,157.10
  6. Step 6: Final answer
    x = 421,223.76

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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.