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Finding the Fourth Proportional to 306,490.50, 459,735.75 and 84,874.50

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Solution

The fourth proportional to 306,490.50, 459,735.75 and 84,874.50 is: 127,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,490.50 : 459,735.75 = 84,874.50 : x
  2. Step 2: Convert to fraction form
    306,490.50/459,735.75 = 84,874.50/x
  3. Step 3: Cross multiply
    306,490.50x = 459,735.75 × 84,874.50
  4. Step 4: Simplify right side
    306,490.50x = 39,019,841,913.38
  5. Step 5: Solve for x
    x = 39,019,841,913.38/306,490.50
  6. Step 6: Final answer
    x = 127,311.75

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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.