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Finding the Fourth Proportional to 446,613.40, 668,364.90 and 306,645.40

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Solution

The fourth proportional to 446,613.40, 668,364.90 and 306,645.40 is: 458,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,613.40 : 668,364.90 = 306,645.40 : x
  2. Step 2: Convert to fraction form
    446,613.40/668,364.90 = 306,645.40/x
  3. Step 3: Cross multiply
    446,613.40x = 668,364.90 × 306,645.40
  4. Step 4: Simplify right side
    446,613.40x = 204,951,022,106.46
  5. Step 5: Solve for x
    x = 204,951,022,106.46/446,613.40
  6. Step 6: Final answer
    x = 458,900.30

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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.