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Finding the Fourth Proportional to 311,365.94, 466,686 and 142,904.07

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Solution

The fourth proportional to 311,365.94, 466,686 and 142,904.07 is: 214,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,365.94 : 466,686 = 142,904.07 : x
  2. Step 2: Convert to fraction form
    311,365.94/466,686 = 142,904.07/x
  3. Step 3: Cross multiply
    311,365.94x = 466,686 × 142,904.07
  4. Step 4: Simplify right side
    311,365.94x = 66,691,328,812.02
  5. Step 5: Solve for x
    x = 66,691,328,812.02/311,365.94
  6. Step 6: Final answer
    x = 214,189.55

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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.