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Finding the Fourth Proportional to 209,390.30, 314,266.80 and 109,620.28

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Solution

The fourth proportional to 209,390.30, 314,266.80 and 109,620.28 is: 164,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,390.30 : 314,266.80 = 109,620.28 : x
  2. Step 2: Convert to fraction form
    209,390.30/314,266.80 = 109,620.28/x
  3. Step 3: Cross multiply
    209,390.30x = 314,266.80 × 109,620.28
  4. Step 4: Simplify right side
    209,390.30x = 34,450,014,610.70
  5. Step 5: Solve for x
    x = 34,450,014,610.70/209,390.30
  6. Step 6: Final answer
    x = 164,525.36

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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.