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Finding the Fourth Proportional to 306,591.50, 459,913.17 and 84,975.50

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Solution

The fourth proportional to 306,591.50, 459,913.17 and 84,975.50 is: 127,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,591.50 : 459,913.17 = 84,975.50 : x
  2. Step 2: Convert to fraction form
    306,591.50/459,913.17 = 84,975.50/x
  3. Step 3: Cross multiply
    306,591.50x = 459,913.17 × 84,975.50
  4. Step 4: Simplify right side
    306,591.50x = 39,081,351,577.34
  5. Step 5: Solve for x
    x = 39,081,351,577.34/306,591.50
  6. Step 6: Final answer
    x = 127,470.43

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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.