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Finding the Fourth Proportional to 311,810.24, 467,721.12 and 101,447.36

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Solution

The fourth proportional to 311,810.24, 467,721.12 and 101,447.36 is: 152,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.24 : 467,721.12 = 101,447.36 : x
  2. Step 2: Convert to fraction form
    311,810.24/467,721.12 = 101,447.36/x
  3. Step 3: Cross multiply
    311,810.24x = 467,721.12 × 101,447.36
  4. Step 4: Simplify right side
    311,810.24x = 47,449,072,840.24
  5. Step 5: Solve for x
    x = 47,449,072,840.24/311,810.24
  6. Step 6: Final answer
    x = 152,172.91

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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.