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Finding the Fourth Proportional to 306,622, 459,933 and 85,006

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Solution

The fourth proportional to 306,622, 459,933 and 85,006 is: 127,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,622 : 459,933 = 85,006 : x
  2. Step 2: Convert to fraction form
    306,622/459,933 = 85,006/x
  3. Step 3: Cross multiply
    306,622x = 459,933 × 85,006
  4. Step 4: Simplify right side
    306,622x = 39,097,064,598
  5. Step 5: Solve for x
    x = 39,097,064,598/306,622
  6. Step 6: Final answer
    x = 127,509

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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.