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Finding the Fourth Proportional to 301,249.62, 415,728.72 and 165,281.10

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Solution

The fourth proportional to 301,249.62, 415,728.72 and 165,281.10 is: 228,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,249.62 : 415,728.72 = 165,281.10 : x
  2. Step 2: Convert to fraction form
    301,249.62/415,728.72 = 165,281.10/x
  3. Step 3: Cross multiply
    301,249.62x = 415,728.72 × 165,281.10
  4. Step 4: Simplify right side
    301,249.62x = 68,712,100,143.19
  5. Step 5: Solve for x
    x = 68,712,100,143.19/301,249.62
  6. Step 6: Final answer
    x = 228,090.25

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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.