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Finding the Fourth Proportional to 380,376.60, 570,243.78 and 239,825.40

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Solution

The fourth proportional to 380,376.60, 570,243.78 and 239,825.40 is: 359,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,376.60 : 570,243.78 = 239,825.40 : x
  2. Step 2: Convert to fraction form
    380,376.60/570,243.78 = 239,825.40/x
  3. Step 3: Cross multiply
    380,376.60x = 570,243.78 × 239,825.40
  4. Step 4: Simplify right side
    380,376.60x = 136,758,942,636.01
  5. Step 5: Solve for x
    x = 136,758,942,636.01/380,376.60
  6. Step 6: Final answer
    x = 359,535.64

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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.