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Finding the Fourth Proportional to 471,422.44, 707,129.88 and 312,211

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Solution

The fourth proportional to 471,422.44, 707,129.88 and 312,211 is: 468,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,422.44 : 707,129.88 = 312,211 : x
  2. Step 2: Convert to fraction form
    471,422.44/707,129.88 = 312,211/x
  3. Step 3: Cross multiply
    471,422.44x = 707,129.88 × 312,211
  4. Step 4: Simplify right side
    471,422.44x = 220,773,726,964.68
  5. Step 5: Solve for x
    x = 220,773,726,964.68/471,422.44
  6. Step 6: Final answer
    x = 468,314.00

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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.