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Finding the Fourth Proportional to 376,911.70, 565,395.24 and 140,254.36

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Solution

The fourth proportional to 376,911.70, 565,395.24 and 140,254.36 is: 210,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,911.70 : 565,395.24 = 140,254.36 : x
  2. Step 2: Convert to fraction form
    376,911.70/565,395.24 = 140,254.36/x
  3. Step 3: Cross multiply
    376,911.70x = 565,395.24 × 140,254.36
  4. Step 4: Simplify right side
    376,911.70x = 79,299,147,533.25
  5. Step 5: Solve for x
    x = 79,299,147,533.25/376,911.70
  6. Step 6: Final answer
    x = 210,391.84

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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.