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Finding the Fourth Proportional to 298,105.76, 411,381.76 and 162,136.64

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Solution

The fourth proportional to 298,105.76, 411,381.76 and 162,136.64 is: 223,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,105.76 : 411,381.76 = 162,136.64 : x
  2. Step 2: Convert to fraction form
    298,105.76/411,381.76 = 162,136.64/x
  3. Step 3: Cross multiply
    298,105.76x = 411,381.76 × 162,136.64
  4. Step 4: Simplify right side
    298,105.76x = 66,700,056,323.69
  5. Step 5: Solve for x
    x = 66,700,056,323.69/298,105.76
  6. Step 6: Final answer
    x = 223,746.28

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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.