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Finding the Fourth Proportional to 380,728.32, 571,350.88 and 203,362.64

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Solution

The fourth proportional to 380,728.32, 571,350.88 and 203,362.64 is: 305,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,728.32 : 571,350.88 = 203,362.64 : x
  2. Step 2: Convert to fraction form
    380,728.32/571,350.88 = 203,362.64/x
  3. Step 3: Cross multiply
    380,728.32x = 571,350.88 × 203,362.64
  4. Step 4: Simplify right side
    380,728.32x = 116,191,423,323.12
  5. Step 5: Solve for x
    x = 116,191,423,323.12/380,728.32
  6. Step 6: Final answer
    x = 305,181.98

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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.