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Finding the Fourth Proportional to 209,323.65, 313,639.20 and 120,422.10

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Solution

The fourth proportional to 209,323.65, 313,639.20 and 120,422.10 is: 180,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.65 : 313,639.20 = 120,422.10 : x
  2. Step 2: Convert to fraction form
    209,323.65/313,639.20 = 120,422.10/x
  3. Step 3: Cross multiply
    209,323.65x = 313,639.20 × 120,422.10
  4. Step 4: Simplify right side
    209,323.65x = 37,769,091,106.32
  5. Step 5: Solve for x
    x = 37,769,091,106.32/209,323.65
  6. Step 6: Final answer
    x = 180,433.94

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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.