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Finding the Fourth Proportional to 209,300.40, 313,950.60 and 199,458.90

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Solution

The fourth proportional to 209,300.40, 313,950.60 and 199,458.90 is: 299,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,300.40 : 313,950.60 = 199,458.90 : x
  2. Step 2: Convert to fraction form
    209,300.40/313,950.60 = 199,458.90/x
  3. Step 3: Cross multiply
    209,300.40x = 313,950.60 × 199,458.90
  4. Step 4: Simplify right side
    209,300.40x = 62,620,241,330.34
  5. Step 5: Solve for x
    x = 62,620,241,330.34/209,300.40
  6. Step 6: Final answer
    x = 299,188.35

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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.