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Finding the Fourth Proportional to 209,434.63, 314,181.15 and 67,284.22

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Solution

The fourth proportional to 209,434.63, 314,181.15 and 67,284.22 is: 100,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,434.63 : 314,181.15 = 67,284.22 : x
  2. Step 2: Convert to fraction form
    209,434.63/314,181.15 = 67,284.22/x
  3. Step 3: Cross multiply
    209,434.63x = 314,181.15 × 67,284.22
  4. Step 4: Simplify right side
    209,434.63x = 21,139,433,616.45
  5. Step 5: Solve for x
    x = 21,139,433,616.45/209,434.63
  6. Step 6: Final answer
    x = 100,935.71

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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.