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Finding the Fourth Proportional to 209,600.10, 314,400.15 and 200,414.70

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Solution

The fourth proportional to 209,600.10, 314,400.15 and 200,414.70 is: 300,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,600.10 : 314,400.15 = 200,414.70 : x
  2. Step 2: Convert to fraction form
    209,600.10/314,400.15 = 200,414.70/x
  3. Step 3: Cross multiply
    209,600.10x = 314,400.15 × 200,414.70
  4. Step 4: Simplify right side
    209,600.10x = 63,010,411,742.21
  5. Step 5: Solve for x
    x = 63,010,411,742.21/209,600.10
  6. Step 6: Final answer
    x = 300,622.05

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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.