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Finding the Fourth Proportional to 291,907.64, 437,997.54 and 287,190.20

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Solution

The fourth proportional to 291,907.64, 437,997.54 and 287,190.20 is: 430,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,907.64 : 437,997.54 = 287,190.20 : x
  2. Step 2: Convert to fraction form
    291,907.64/437,997.54 = 287,190.20/x
  3. Step 3: Cross multiply
    291,907.64x = 437,997.54 × 287,190.20
  4. Step 4: Simplify right side
    291,907.64x = 125,788,601,112.11
  5. Step 5: Solve for x
    x = 125,788,601,112.11/291,907.64
  6. Step 6: Final answer
    x = 430,919.18

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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.