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Finding the Fourth Proportional to 298,746.20, 411,992.66 and 218,045.88

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Solution

The fourth proportional to 298,746.20, 411,992.66 and 218,045.88 is: 300,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,746.20 : 411,992.66 = 218,045.88 : x
  2. Step 2: Convert to fraction form
    298,746.20/411,992.66 = 218,045.88/x
  3. Step 3: Cross multiply
    298,746.20x = 411,992.66 × 218,045.88
  4. Step 4: Simplify right side
    298,746.20x = 89,833,302,103.24
  5. Step 5: Solve for x
    x = 89,833,302,103.24/298,746.20
  6. Step 6: Final answer
    x = 300,701.07

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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.