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Finding the Fourth Proportional to 209,808.45, 314,805.69 and 109,944.90

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Solution

The fourth proportional to 209,808.45, 314,805.69 and 109,944.90 is: 164,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,808.45 : 314,805.69 = 109,944.90 : x
  2. Step 2: Convert to fraction form
    209,808.45/314,805.69 = 109,944.90/x
  3. Step 3: Cross multiply
    209,808.45x = 314,805.69 × 109,944.90
  4. Step 4: Simplify right side
    209,808.45x = 34,611,280,106.48
  5. Step 5: Solve for x
    x = 34,611,280,106.48/209,808.45
  6. Step 6: Final answer
    x = 164,966.09

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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.