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Finding the Fourth Proportional to 298,391.42, 411,785.40 and 162,429.27

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Solution

The fourth proportional to 298,391.42, 411,785.40 and 162,429.27 is: 224,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,391.42 : 411,785.40 = 162,429.27 : x
  2. Step 2: Convert to fraction form
    298,391.42/411,785.40 = 162,429.27/x
  3. Step 3: Cross multiply
    298,391.42x = 411,785.40 × 162,429.27
  4. Step 4: Simplify right side
    298,391.42x = 66,886,001,918.66
  5. Step 5: Solve for x
    x = 66,886,001,918.66/298,391.42
  6. Step 6: Final answer
    x = 224,155.25

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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.