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Finding the Fourth Proportional to 306,662, 459,993 and 85,046

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Solution

The fourth proportional to 306,662, 459,993 and 85,046 is: 127,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,662 : 459,993 = 85,046 : x
  2. Step 2: Convert to fraction form
    306,662/459,993 = 85,046/x
  3. Step 3: Cross multiply
    306,662x = 459,993 × 85,046
  4. Step 4: Simplify right side
    306,662x = 39,120,564,678
  5. Step 5: Solve for x
    x = 39,120,564,678/306,662
  6. Step 6: Final answer
    x = 127,569

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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.