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Finding the Fourth Proportional to 298,260, 411,940.08 and 202,606.56

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Solution

The fourth proportional to 298,260, 411,940.08 and 202,606.56 is: 279,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,260 : 411,940.08 = 202,606.56 : x
  2. Step 2: Convert to fraction form
    298,260/411,940.08 = 202,606.56/x
  3. Step 3: Cross multiply
    298,260x = 411,940.08 × 202,606.56
  4. Step 4: Simplify right side
    298,260x = 83,461,762,534.92
  5. Step 5: Solve for x
    x = 83,461,762,534.92/298,260
  6. Step 6: Final answer
    x = 279,828.88

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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.