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Finding the Fourth Proportional to 298,249.64, 411,572.16 and 162,284.12

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Solution

The fourth proportional to 298,249.64, 411,572.16 and 162,284.12 is: 223,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,249.64 : 411,572.16 = 162,284.12 : x
  2. Step 2: Convert to fraction form
    298,249.64/411,572.16 = 162,284.12/x
  3. Step 3: Cross multiply
    298,249.64x = 411,572.16 × 162,284.12
  4. Step 4: Simplify right side
    298,249.64x = 66,791,625,802.10
  5. Step 5: Solve for x
    x = 66,791,625,802.10/298,249.64
  6. Step 6: Final answer
    x = 223,945.37

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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.