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Finding the Fourth Proportional to 313,969.46, 470,970.54 and 103,623.80

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Solution

The fourth proportional to 313,969.46, 470,970.54 and 103,623.80 is: 155,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.46 : 470,970.54 = 103,623.80 : x
  2. Step 2: Convert to fraction form
    313,969.46/470,970.54 = 103,623.80/x
  3. Step 3: Cross multiply
    313,969.46x = 470,970.54 × 103,623.80
  4. Step 4: Simplify right side
    313,969.46x = 48,803,757,042.85
  5. Step 5: Solve for x
    x = 48,803,757,042.85/313,969.46
  6. Step 6: Final answer
    x = 155,441.10

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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.