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Finding the Fourth Proportional to 298,554.61, 411,986.69 and 164,418.61

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Solution

The fourth proportional to 298,554.61, 411,986.69 and 164,418.61 is: 226,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,554.61 : 411,986.69 = 164,418.61 : x
  2. Step 2: Convert to fraction form
    298,554.61/411,986.69 = 164,418.61/x
  3. Step 3: Cross multiply
    298,554.61x = 411,986.69 × 164,418.61
  4. Step 4: Simplify right side
    298,554.61x = 67,738,276,026.27
  5. Step 5: Solve for x
    x = 67,738,276,026.27/298,554.61
  6. Step 6: Final answer
    x = 226,887.39

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1.5x scale

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.