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Finding the Fourth Proportional to 306,300.64, 459,450.96 and 139,972

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Solution

The fourth proportional to 306,300.64, 459,450.96 and 139,972 is: 209,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,300.64 : 459,450.96 = 139,972 : x
  2. Step 2: Convert to fraction form
    306,300.64/459,450.96 = 139,972/x
  3. Step 3: Cross multiply
    306,300.64x = 459,450.96 × 139,972
  4. Step 4: Simplify right side
    306,300.64x = 64,310,269,773.12
  5. Step 5: Solve for x
    x = 64,310,269,773.12/306,300.64
  6. Step 6: Final answer
    x = 209,958

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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.