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Finding the Fourth Proportional to 209,998.70, 314,961.60 and 76,810.40

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Solution

The fourth proportional to 209,998.70, 314,961.60 and 76,810.40 is: 115,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,998.70 : 314,961.60 = 76,810.40 : x
  2. Step 2: Convert to fraction form
    209,998.70/314,961.60 = 76,810.40/x
  3. Step 3: Cross multiply
    209,998.70x = 314,961.60 × 76,810.40
  4. Step 4: Simplify right side
    209,998.70x = 24,192,326,480.64
  5. Step 5: Solve for x
    x = 24,192,326,480.64/209,998.70
  6. Step 6: Final answer
    x = 115,202.27

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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.