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Finding the Fourth Proportional to 310,171.21, 464,961.34 and 99,661.39

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Solution

The fourth proportional to 310,171.21, 464,961.34 and 99,661.39 is: 149,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,171.21 : 464,961.34 = 99,661.39 : x
  2. Step 2: Convert to fraction form
    310,171.21/464,961.34 = 99,661.39/x
  3. Step 3: Cross multiply
    310,171.21x = 464,961.34 × 99,661.39
  4. Step 4: Simplify right side
    310,171.21x = 46,338,693,440.66
  5. Step 5: Solve for x
    x = 46,338,693,440.66/310,171.21
  6. Step 6: Final answer
    x = 149,397.15

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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.