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Finding the Fourth Proportional to 306,297.64, 459,446.46 and 139,969

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Solution

The fourth proportional to 306,297.64, 459,446.46 and 139,969 is: 209,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,297.64 : 459,446.46 = 139,969 : x
  2. Step 2: Convert to fraction form
    306,297.64/459,446.46 = 139,969/x
  3. Step 3: Cross multiply
    306,297.64x = 459,446.46 × 139,969
  4. Step 4: Simplify right side
    306,297.64x = 64,308,261,559.74
  5. Step 5: Solve for x
    x = 64,308,261,559.74/306,297.64
  6. Step 6: Final answer
    x = 209,953.50

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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.