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Finding the Fourth Proportional to 298,124.70, 411,418.86 and 162,165.92

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Solution

The fourth proportional to 298,124.70, 411,418.86 and 162,165.92 is: 223,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,124.70 : 411,418.86 = 162,165.92 : x
  2. Step 2: Convert to fraction form
    298,124.70/411,418.86 = 162,165.92/x
  3. Step 3: Cross multiply
    298,124.70x = 411,418.86 × 162,165.92
  4. Step 4: Simplify right side
    298,124.70x = 66,718,115,880.16
  5. Step 5: Solve for x
    x = 66,718,115,880.16/298,124.70
  6. Step 6: Final answer
    x = 223,792.65

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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.