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Finding the Fourth Proportional to 380,123.12, 570,140.84 and 99,662.64

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Solution

The fourth proportional to 380,123.12, 570,140.84 and 99,662.64 is: 149,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,123.12 : 570,140.84 = 99,662.64 : x
  2. Step 2: Convert to fraction form
    380,123.12/570,140.84 = 99,662.64/x
  3. Step 3: Cross multiply
    380,123.12x = 570,140.84 × 99,662.64
  4. Step 4: Simplify right side
    380,123.12x = 56,821,741,286.22
  5. Step 5: Solve for x
    x = 56,821,741,286.22/380,123.12
  6. Step 6: Final answer
    x = 149,482.47

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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.