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Finding the Fourth Proportional to 311,208.30, 466,703.10 and 142,809.30

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Solution

The fourth proportional to 311,208.30, 466,703.10 and 142,809.30 is: 214,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,208.30 : 466,703.10 = 142,809.30 : x
  2. Step 2: Convert to fraction form
    311,208.30/466,703.10 = 142,809.30/x
  3. Step 3: Cross multiply
    311,208.30x = 466,703.10 × 142,809.30
  4. Step 4: Simplify right side
    311,208.30x = 66,649,543,018.83
  5. Step 5: Solve for x
    x = 66,649,543,018.83/311,208.30
  6. Step 6: Final answer
    x = 214,163.77

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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.