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Finding the Fourth Proportional to 298,065.48, 411,122.16 and 202,406.10

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Solution

The fourth proportional to 298,065.48, 411,122.16 and 202,406.10 is: 279,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,065.48 : 411,122.16 = 202,406.10 : x
  2. Step 2: Convert to fraction form
    298,065.48/411,122.16 = 202,406.10/x
  3. Step 3: Cross multiply
    298,065.48x = 411,122.16 × 202,406.10
  4. Step 4: Simplify right side
    298,065.48x = 83,213,633,029.18
  5. Step 5: Solve for x
    x = 83,213,633,029.18/298,065.48
  6. Step 6: Final answer
    x = 279,179.03

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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.