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Finding the Fourth Proportional to 311,985.63, 467,978.46 and 101,623.56

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Solution

The fourth proportional to 311,985.63, 467,978.46 and 101,623.56 is: 152,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,985.63 : 467,978.46 = 101,623.56 : x
  2. Step 2: Convert to fraction form
    311,985.63/467,978.46 = 101,623.56/x
  3. Step 3: Cross multiply
    311,985.63x = 467,978.46 × 101,623.56
  4. Step 4: Simplify right side
    311,985.63x = 47,557,637,108.52
  5. Step 5: Solve for x
    x = 47,557,637,108.52/311,985.63
  6. Step 6: Final answer
    x = 152,435.34

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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.