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Finding the Fourth Proportional to 306,578.64, 423,074.64 and 170,609.20

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Solution

The fourth proportional to 306,578.64, 423,074.64 and 170,609.20 is: 235,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,578.64 : 423,074.64 = 170,609.20 : x
  2. Step 2: Convert to fraction form
    306,578.64/423,074.64 = 170,609.20/x
  3. Step 3: Cross multiply
    306,578.64x = 423,074.64 × 170,609.20
  4. Step 4: Simplify right side
    306,578.64x = 72,180,425,870.69
  5. Step 5: Solve for x
    x = 72,180,425,870.69/306,578.64
  6. Step 6: Final answer
    x = 235,438.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.