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Finding the Fourth Proportional to 311,475, 467,270.82 and 145,263

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Solution

The fourth proportional to 311,475, 467,270.82 and 145,263 is: 217,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,475 : 467,270.82 = 145,263 : x
  2. Step 2: Convert to fraction form
    311,475/467,270.82 = 145,263/x
  3. Step 3: Cross multiply
    311,475x = 467,270.82 × 145,263
  4. Step 4: Simplify right side
    311,475x = 67,877,161,125.66
  5. Step 5: Solve for x
    x = 67,877,161,125.66/311,475
  6. Step 6: Final answer
    x = 217,921.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.