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Finding the Fourth Proportional to 298,260.93, 411,605 and 162,295.57

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Solution

The fourth proportional to 298,260.93, 411,605 and 162,295.57 is: 223,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,260.93 : 411,605 = 162,295.57 : x
  2. Step 2: Convert to fraction form
    298,260.93/411,605 = 162,295.57/x
  3. Step 3: Cross multiply
    298,260.93x = 411,605 × 162,295.57
  4. Step 4: Simplify right side
    298,260.93x = 66,801,668,089.85
  5. Step 5: Solve for x
    x = 66,801,668,089.85/298,260.93
  6. Step 6: Final answer
    x = 223,970.56

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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.