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Finding the Fourth Proportional to 488,809.30, 733,870.05 and 312,099.70

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Solution

The fourth proportional to 488,809.30, 733,870.05 and 312,099.70 is: 468,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,809.30 : 733,870.05 = 312,099.70 : x
  2. Step 2: Convert to fraction form
    488,809.30/733,870.05 = 312,099.70/x
  3. Step 3: Cross multiply
    488,809.30x = 733,870.05 × 312,099.70
  4. Step 4: Simplify right side
    488,809.30x = 229,040,622,443.99
  5. Step 5: Solve for x
    x = 229,040,622,443.99/488,809.30
  6. Step 6: Final answer
    x = 468,568.46

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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.