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Finding the Fourth Proportional to 298,271.82, 411,632.84 and 170,955.60

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Solution

The fourth proportional to 298,271.82, 411,632.84 and 170,955.60 is: 235,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,271.82 : 411,632.84 = 170,955.60 : x
  2. Step 2: Convert to fraction form
    298,271.82/411,632.84 = 170,955.60/x
  3. Step 3: Cross multiply
    298,271.82x = 411,632.84 × 170,955.60
  4. Step 4: Simplify right side
    298,271.82x = 70,370,939,141.90
  5. Step 5: Solve for x
    x = 70,370,939,141.90/298,271.82
  6. Step 6: Final answer
    x = 235,928.89

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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.