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Finding the Fourth Proportional to 298,391.21, 411,785.13 and 162,429.06

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Solution

The fourth proportional to 298,391.21, 411,785.13 and 162,429.06 is: 224,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,391.21 : 411,785.13 = 162,429.06 : x
  2. Step 2: Convert to fraction form
    298,391.21/411,785.13 = 162,429.06/x
  3. Step 3: Cross multiply
    298,391.21x = 411,785.13 × 162,429.06
  4. Step 4: Simplify right side
    298,391.21x = 66,885,873,741.18
  5. Step 5: Solve for x
    x = 66,885,873,741.18/298,391.21
  6. Step 6: Final answer
    x = 224,154.97

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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.