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Finding the Fourth Proportional to 511,904.81, 706,450.51 and 285,550.31

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Solution

The fourth proportional to 511,904.81, 706,450.51 and 285,550.31 is: 394,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,904.81 : 706,450.51 = 285,550.31 : x
  2. Step 2: Convert to fraction form
    511,904.81/706,450.51 = 285,550.31/x
  3. Step 3: Cross multiply
    511,904.81x = 706,450.51 × 285,550.31
  4. Step 4: Simplify right side
    511,904.81x = 201,727,164,253.22
  5. Step 5: Solve for x
    x = 201,727,164,253.22/511,904.81
  6. Step 6: Final answer
    x = 394,071.63

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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.