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Finding the Fourth Proportional to 313,969.49, 470,970.53 and 103,623.83

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Solution

The fourth proportional to 313,969.49, 470,970.53 and 103,623.83 is: 155,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.49 : 470,970.53 = 103,623.83 : x
  2. Step 2: Convert to fraction form
    313,969.49/470,970.53 = 103,623.83/x
  3. Step 3: Cross multiply
    313,969.49x = 470,970.53 × 103,623.83
  4. Step 4: Simplify right side
    313,969.49x = 48,803,770,135.73
  5. Step 5: Solve for x
    x = 48,803,770,135.73/313,969.49
  6. Step 6: Final answer
    x = 155,441.12

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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.