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Finding the Fourth Proportional to 209,321.65, 313,636.20 and 120,420.10

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Solution

The fourth proportional to 209,321.65, 313,636.20 and 120,420.10 is: 180,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,321.65 : 313,636.20 = 120,420.10 : x
  2. Step 2: Convert to fraction form
    209,321.65/313,636.20 = 120,420.10/x
  3. Step 3: Cross multiply
    209,321.65x = 313,636.20 × 120,420.10
  4. Step 4: Simplify right side
    209,321.65x = 37,768,102,567.62
  5. Step 5: Solve for x
    x = 37,768,102,567.62/209,321.65
  6. Step 6: Final answer
    x = 180,430.94

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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.