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Finding the Fourth Proportional to 511,835.75, 706,559.81 and 330,636.02

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Solution

The fourth proportional to 511,835.75, 706,559.81 and 330,636.02 is: 456,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,835.75 : 706,559.81 = 330,636.02 : x
  2. Step 2: Convert to fraction form
    511,835.75/706,559.81 = 330,636.02/x
  3. Step 3: Cross multiply
    511,835.75x = 706,559.81 × 330,636.02
  4. Step 4: Simplify right side
    511,835.75x = 233,614,123,470.36
  5. Step 5: Solve for x
    x = 233,614,123,470.36/511,835.75
  6. Step 6: Final answer
    x = 456,424.01

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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.