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Finding the Fourth Proportional to 333,615.40, 499,742.70 and 206,866.60

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Solution

The fourth proportional to 333,615.40, 499,742.70 and 206,866.60 is: 309,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,615.40 : 499,742.70 = 206,866.60 : x
  2. Step 2: Convert to fraction form
    333,615.40/499,742.70 = 206,866.60/x
  3. Step 3: Cross multiply
    333,615.40x = 499,742.70 × 206,866.60
  4. Step 4: Simplify right side
    333,615.40x = 103,380,073,223.82
  5. Step 5: Solve for x
    x = 103,380,073,223.82/333,615.40
  6. Step 6: Final answer
    x = 309,878.00

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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.