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Finding the Fourth Proportional to 306,302.64, 459,453.96 and 139,974

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Solution

The fourth proportional to 306,302.64, 459,453.96 and 139,974 is: 209,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,302.64 : 459,453.96 = 139,974 : x
  2. Step 2: Convert to fraction form
    306,302.64/459,453.96 = 139,974/x
  3. Step 3: Cross multiply
    306,302.64x = 459,453.96 × 139,974
  4. Step 4: Simplify right side
    306,302.64x = 64,311,608,597.04
  5. Step 5: Solve for x
    x = 64,311,608,597.04/306,302.64
  6. Step 6: Final answer
    x = 209,961

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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.