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Finding the Fourth Proportional to 333,065.20, 498,139.80 and 297,781.60

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Solution

The fourth proportional to 333,065.20, 498,139.80 and 297,781.60 is: 445,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,065.20 : 498,139.80 = 297,781.60 : x
  2. Step 2: Convert to fraction form
    333,065.20/498,139.80 = 297,781.60/x
  3. Step 3: Cross multiply
    333,065.20x = 498,139.80 × 297,781.60
  4. Step 4: Simplify right side
    333,065.20x = 148,336,866,667.68
  5. Step 5: Solve for x
    x = 148,336,866,667.68/333,065.20
  6. Step 6: Final answer
    x = 445,368.85

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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.