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Finding the Fourth Proportional to 270,904.64, 405,969.78 and 152,327.12

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Solution

The fourth proportional to 270,904.64, 405,969.78 and 152,327.12 is: 228,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904.64 : 405,969.78 = 152,327.12 : x
  2. Step 2: Convert to fraction form
    270,904.64/405,969.78 = 152,327.12/x
  3. Step 3: Cross multiply
    270,904.64x = 405,969.78 × 152,327.12
  4. Step 4: Simplify right side
    270,904.64x = 61,840,207,394.43
  5. Step 5: Solve for x
    x = 61,840,207,394.43/270,904.64
  6. Step 6: Final answer
    x = 228,272.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.