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Finding the Fourth Proportional to 306,663, 459,994.50 and 85,047

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Solution

The fourth proportional to 306,663, 459,994.50 and 85,047 is: 127,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,663 : 459,994.50 = 85,047 : x
  2. Step 2: Convert to fraction form
    306,663/459,994.50 = 85,047/x
  3. Step 3: Cross multiply
    306,663x = 459,994.50 × 85,047
  4. Step 4: Simplify right side
    306,663x = 39,121,152,241.50
  5. Step 5: Solve for x
    x = 39,121,152,241.50/306,663
  6. Step 6: Final answer
    x = 127,570.50

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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.