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Finding the Fourth Proportional to 645,842.40, 968,326.20 and 330,039.60

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Solution

The fourth proportional to 645,842.40, 968,326.20 and 330,039.60 is: 494,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,842.40 : 968,326.20 = 330,039.60 : x
  2. Step 2: Convert to fraction form
    645,842.40/968,326.20 = 330,039.60/x
  3. Step 3: Cross multiply
    645,842.40x = 968,326.20 × 330,039.60
  4. Step 4: Simplify right side
    645,842.40x = 319,585,991,717.52
  5. Step 5: Solve for x
    x = 319,585,991,717.52/645,842.40
  6. Step 6: Final answer
    x = 494,835.88

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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.