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Finding the Fourth Proportional to 298,386.40, 411,808.34 and 167,585.56

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Solution

The fourth proportional to 298,386.40, 411,808.34 and 167,585.56 is: 231,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,386.40 : 411,808.34 = 167,585.56 : x
  2. Step 2: Convert to fraction form
    298,386.40/411,808.34 = 167,585.56/x
  3. Step 3: Cross multiply
    298,386.40x = 411,808.34 × 167,585.56
  4. Step 4: Simplify right side
    298,386.40x = 69,013,131,271.57
  5. Step 5: Solve for x
    x = 69,013,131,271.57/298,386.40
  6. Step 6: Final answer
    x = 231,287.79

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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.