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Finding the Fourth Proportional to 291,649.40, 437,474.10 and 266,717.60

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Solution

The fourth proportional to 291,649.40, 437,474.10 and 266,717.60 is: 400,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,649.40 : 437,474.10 = 266,717.60 : x
  2. Step 2: Convert to fraction form
    291,649.40/437,474.10 = 266,717.60/x
  3. Step 3: Cross multiply
    291,649.40x = 437,474.10 × 266,717.60
  4. Step 4: Simplify right side
    291,649.40x = 116,682,042,014.16
  5. Step 5: Solve for x
    x = 116,682,042,014.16/291,649.40
  6. Step 6: Final answer
    x = 400,076.40

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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.