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Finding the Fourth Proportional to 209,479.87, 314,215.55 and 51,709.69

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Solution

The fourth proportional to 209,479.87, 314,215.55 and 51,709.69 is: 77,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,479.87 : 314,215.55 = 51,709.69 : x
  2. Step 2: Convert to fraction form
    209,479.87/314,215.55 = 51,709.69/x
  3. Step 3: Cross multiply
    209,479.87x = 314,215.55 × 51,709.69
  4. Step 4: Simplify right side
    209,479.87x = 16,247,986,854.05
  5. Step 5: Solve for x
    x = 16,247,986,854.05/209,479.87
  6. Step 6: Final answer
    x = 77,563.48

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1.5x scale

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.