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Finding the Fourth Proportional to 311,877.37, 467,852.64 and 109,411.57

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Solution

The fourth proportional to 311,877.37, 467,852.64 and 109,411.57 is: 164,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877.37 : 467,852.64 = 109,411.57 : x
  2. Step 2: Convert to fraction form
    311,877.37/467,852.64 = 109,411.57/x
  3. Step 3: Cross multiply
    311,877.37x = 467,852.64 × 109,411.57
  4. Step 4: Simplify right side
    311,877.37x = 51,188,491,871.04
  5. Step 5: Solve for x
    x = 51,188,491,871.04/311,877.37
  6. Step 6: Final answer
    x = 164,130.19

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1.5x scale

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.