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Finding the Fourth Proportional to 228,655.86, 315,540.78 and 138,015.64

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Solution

The fourth proportional to 228,655.86, 315,540.78 and 138,015.64 is: 190,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,655.86 : 315,540.78 = 138,015.64 : x
  2. Step 2: Convert to fraction form
    228,655.86/315,540.78 = 138,015.64/x
  3. Step 3: Cross multiply
    228,655.86x = 315,540.78 × 138,015.64
  4. Step 4: Simplify right side
    228,655.86x = 43,549,562,697.80
  5. Step 5: Solve for x
    x = 43,549,562,697.80/228,655.86
  6. Step 6: Final answer
    x = 190,458.98

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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.