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Finding the Fourth Proportional to 313,391.63, 470,315.72 and 113,728.10

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Solution

The fourth proportional to 313,391.63, 470,315.72 and 113,728.10 is: 170,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,391.63 : 470,315.72 = 113,728.10 : x
  2. Step 2: Convert to fraction form
    313,391.63/470,315.72 = 113,728.10/x
  3. Step 3: Cross multiply
    313,391.63x = 470,315.72 × 113,728.10
  4. Step 4: Simplify right side
    313,391.63x = 53,488,113,174.28
  5. Step 5: Solve for x
    x = 53,488,113,174.28/313,391.63
  6. Step 6: Final answer
    x = 170,674.99

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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.