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Finding the Fourth Proportional to 313,880.80, 471,051.60 and 208,664.80

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Solution

The fourth proportional to 313,880.80, 471,051.60 and 208,664.80 is: 313,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880.80 : 471,051.60 = 208,664.80 : x
  2. Step 2: Convert to fraction form
    313,880.80/471,051.60 = 208,664.80/x
  3. Step 3: Cross multiply
    313,880.80x = 471,051.60 × 208,664.80
  4. Step 4: Simplify right side
    313,880.80x = 98,291,887,903.68
  5. Step 5: Solve for x
    x = 98,291,887,903.68/313,880.80
  6. Step 6: Final answer
    x = 313,150.37

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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.