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Finding the Fourth Proportional to 284,684.81, 392,824.89 and 162,180.41

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Solution

The fourth proportional to 284,684.81, 392,824.89 and 162,180.41 is: 223,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,684.81 : 392,824.89 = 162,180.41 : x
  2. Step 2: Convert to fraction form
    284,684.81/392,824.89 = 162,180.41/x
  3. Step 3: Cross multiply
    284,684.81x = 392,824.89 × 162,180.41
  4. Step 4: Simplify right side
    284,684.81x = 63,708,501,718.40
  5. Step 5: Solve for x
    x = 63,708,501,718.40/284,684.81
  6. Step 6: Final answer
    x = 223,786.09

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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.