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Finding the Fourth Proportional to 380,585.69, 570,958.70 and 143,923.13

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Solution

The fourth proportional to 380,585.69, 570,958.70 and 143,923.13 is: 215,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,585.69 : 570,958.70 = 143,923.13 : x
  2. Step 2: Convert to fraction form
    380,585.69/570,958.70 = 143,923.13/x
  3. Step 3: Cross multiply
    380,585.69x = 570,958.70 × 143,923.13
  4. Step 4: Simplify right side
    380,585.69x = 82,174,163,204.73
  5. Step 5: Solve for x
    x = 82,174,163,204.73/380,585.69
  6. Step 6: Final answer
    x = 215,915.01

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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.