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Finding the Fourth Proportional to 231,313.58, 319,365.16 and 149,795.18

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Solution

The fourth proportional to 231,313.58, 319,365.16 and 149,795.18 is: 206,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,313.58 : 319,365.16 = 149,795.18 : x
  2. Step 2: Convert to fraction form
    231,313.58/319,365.16 = 149,795.18/x
  3. Step 3: Cross multiply
    231,313.58x = 319,365.16 × 149,795.18
  4. Step 4: Simplify right side
    231,313.58x = 47,839,361,627.93
  5. Step 5: Solve for x
    x = 47,839,361,627.93/231,313.58
  6. Step 6: Final answer
    x = 206,816.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.