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Finding the Fourth Proportional to 313,907.80, 470,861.70 and 207,619.60

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Solution

The fourth proportional to 313,907.80, 470,861.70 and 207,619.60 is: 311,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,907.80 : 470,861.70 = 207,619.60 : x
  2. Step 2: Convert to fraction form
    313,907.80/470,861.70 = 207,619.60/x
  3. Step 3: Cross multiply
    313,907.80x = 470,861.70 × 207,619.60
  4. Step 4: Simplify right side
    313,907.80x = 97,760,117,809.32
  5. Step 5: Solve for x
    x = 97,760,117,809.32/313,907.80
  6. Step 6: Final answer
    x = 311,429.40

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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.