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Finding the Fourth Proportional to 313,728.72, 470,622.24 and 103,368.48

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Solution

The fourth proportional to 313,728.72, 470,622.24 and 103,368.48 is: 155,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,728.72 : 470,622.24 = 103,368.48 : x
  2. Step 2: Convert to fraction form
    313,728.72/470,622.24 = 103,368.48/x
  3. Step 3: Cross multiply
    313,728.72x = 470,622.24 × 103,368.48
  4. Step 4: Simplify right side
    313,728.72x = 48,647,505,603.00
  5. Step 5: Solve for x
    x = 48,647,505,603.00/313,728.72
  6. Step 6: Final answer
    x = 155,062.33

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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.