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Finding the Fourth Proportional to 298,034.40, 411,291.52 and 170,709.88

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Solution

The fourth proportional to 298,034.40, 411,291.52 and 170,709.88 is: 235,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.40 : 411,291.52 = 170,709.88 : x
  2. Step 2: Convert to fraction form
    298,034.40/411,291.52 = 170,709.88/x
  3. Step 3: Cross multiply
    298,034.40x = 411,291.52 × 170,709.88
  4. Step 4: Simplify right side
    298,034.40x = 70,211,526,024.22
  5. Step 5: Solve for x
    x = 70,211,526,024.22/298,034.40
  6. Step 6: Final answer
    x = 235,581.95

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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.