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Finding the Fourth Proportional to 298,412.28, 411,807.78 and 162,453.78

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Solution

The fourth proportional to 298,412.28, 411,807.78 and 162,453.78 is: 224,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412.28 : 411,807.78 = 162,453.78 : x
  2. Step 2: Convert to fraction form
    298,412.28/411,807.78 = 162,453.78/x
  3. Step 3: Cross multiply
    298,412.28x = 411,807.78 × 162,453.78
  4. Step 4: Simplify right side
    298,412.28x = 66,899,730,494.41
  5. Step 5: Solve for x
    x = 66,899,730,494.41/298,412.28
  6. Step 6: Final answer
    x = 224,185.58

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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.