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Finding the Fourth Proportional to 324,419.74, 444,447.59 and 312,290.40

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Solution

The fourth proportional to 324,419.74, 444,447.59 and 312,290.40 is: 427,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,419.74 : 444,447.59 = 312,290.40 : x
  2. Step 2: Convert to fraction form
    324,419.74/444,447.59 = 312,290.40/x
  3. Step 3: Cross multiply
    324,419.74x = 444,447.59 × 312,290.40
  4. Step 4: Simplify right side
    324,419.74x = 138,796,713,437.90
  5. Step 5: Solve for x
    x = 138,796,713,437.90/324,419.74
  6. Step 6: Final answer
    x = 427,830.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.