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Finding the Fourth Proportional to 291,202.80, 436,804.20 and 278,499.98

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Solution

The fourth proportional to 291,202.80, 436,804.20 and 278,499.98 is: 417,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,202.80 : 436,804.20 = 278,499.98 : x
  2. Step 2: Convert to fraction form
    291,202.80/436,804.20 = 278,499.98/x
  3. Step 3: Cross multiply
    291,202.80x = 436,804.20 × 278,499.98
  4. Step 4: Simplify right side
    291,202.80x = 121,649,958,779.90
  5. Step 5: Solve for x
    x = 121,649,958,779.90/291,202.80
  6. Step 6: Final answer
    x = 417,749.96

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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.