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Finding the Fourth Proportional to 209,820.20, 314,730.30 and 189,084.20

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Solution

The fourth proportional to 209,820.20, 314,730.30 and 189,084.20 is: 283,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820.20 : 314,730.30 = 189,084.20 : x
  2. Step 2: Convert to fraction form
    209,820.20/314,730.30 = 189,084.20/x
  3. Step 3: Cross multiply
    209,820.20x = 314,730.30 × 189,084.20
  4. Step 4: Simplify right side
    209,820.20x = 59,510,526,991.26
  5. Step 5: Solve for x
    x = 59,510,526,991.26/209,820.20
  6. Step 6: Final answer
    x = 283,626.30

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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.