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Finding the Fourth Proportional to 340,798.98, 470,409.12 and 219,940.50

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Solution

The fourth proportional to 340,798.98, 470,409.12 and 219,940.50 is: 303,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,798.98 : 470,409.12 = 219,940.50 : x
  2. Step 2: Convert to fraction form
    340,798.98/470,409.12 = 219,940.50/x
  3. Step 3: Cross multiply
    340,798.98x = 470,409.12 × 219,940.50
  4. Step 4: Simplify right side
    340,798.98x = 103,462,017,057.36
  5. Step 5: Solve for x
    x = 103,462,017,057.36/340,798.98
  6. Step 6: Final answer
    x = 303,586.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.