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Finding the Fourth Proportional to 294,246.40, 440,332.80 and 205,081.60

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Solution

The fourth proportional to 294,246.40, 440,332.80 and 205,081.60 is: 306,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,246.40 : 440,332.80 = 205,081.60 : x
  2. Step 2: Convert to fraction form
    294,246.40/440,332.80 = 205,081.60/x
  3. Step 3: Cross multiply
    294,246.40x = 440,332.80 × 205,081.60
  4. Step 4: Simplify right side
    294,246.40x = 90,304,155,156.48
  5. Step 5: Solve for x
    x = 90,304,155,156.48/294,246.40
  6. Step 6: Final answer
    x = 306,899.78

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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.