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Finding the Fourth Proportional to 291,716.40, 437,574.60 and 171,650.10

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Solution

The fourth proportional to 291,716.40, 437,574.60 and 171,650.10 is: 257,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,716.40 : 437,574.60 = 171,650.10 : x
  2. Step 2: Convert to fraction form
    291,716.40/437,574.60 = 171,650.10/x
  3. Step 3: Cross multiply
    291,716.40x = 437,574.60 × 171,650.10
  4. Step 4: Simplify right side
    291,716.40x = 75,109,723,847.46
  5. Step 5: Solve for x
    x = 75,109,723,847.46/291,716.40
  6. Step 6: Final answer
    x = 257,475.15

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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.