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Finding the Fourth Proportional to 298,554.86, 411,987.03 and 164,418.86

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Solution

The fourth proportional to 298,554.86, 411,987.03 and 164,418.86 is: 226,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,554.86 : 411,987.03 = 164,418.86 : x
  2. Step 2: Convert to fraction form
    298,554.86/411,987.03 = 164,418.86/x
  3. Step 3: Cross multiply
    298,554.86x = 411,987.03 × 164,418.86
  4. Step 4: Simplify right side
    298,554.86x = 67,738,437,807.39
  5. Step 5: Solve for x
    x = 67,738,437,807.39/298,554.86
  6. Step 6: Final answer
    x = 226,887.74

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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.