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Finding the Fourth Proportional to 298,984.36, 412,603.86 and 163,019.38

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Solution

The fourth proportional to 298,984.36, 412,603.86 and 163,019.38 is: 224,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,984.36 : 412,603.86 = 163,019.38 : x
  2. Step 2: Convert to fraction form
    298,984.36/412,603.86 = 163,019.38/x
  3. Step 3: Cross multiply
    298,984.36x = 412,603.86 × 163,019.38
  4. Step 4: Simplify right side
    298,984.36x = 67,262,425,442.81
  5. Step 5: Solve for x
    x = 67,262,425,442.81/298,984.36
  6. Step 6: Final answer
    x = 224,969.71

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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.