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Finding the Fourth Proportional to 294,230.40, 440,308.80 and 205,065.60

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Solution

The fourth proportional to 294,230.40, 440,308.80 and 205,065.60 is: 306,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,230.40 : 440,308.80 = 205,065.60 : x
  2. Step 2: Convert to fraction form
    294,230.40/440,308.80 = 205,065.60/x
  3. Step 3: Cross multiply
    294,230.40x = 440,308.80 × 205,065.60
  4. Step 4: Simplify right side
    294,230.40x = 90,292,188,257.28
  5. Step 5: Solve for x
    x = 90,292,188,257.28/294,230.40
  6. Step 6: Final answer
    x = 306,875.80

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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.