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Finding the Fourth Proportional to 286,102, 429,049.32 and 128,249.20

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Solution

The fourth proportional to 286,102, 429,049.32 and 128,249.20 is: 192,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,102 : 429,049.32 = 128,249.20 : x
  2. Step 2: Convert to fraction form
    286,102/429,049.32 = 128,249.20/x
  3. Step 3: Cross multiply
    286,102x = 429,049.32 × 128,249.20
  4. Step 4: Simplify right side
    286,102x = 55,025,232,050.54
  5. Step 5: Solve for x
    x = 55,025,232,050.54/286,102
  6. Step 6: Final answer
    x = 192,327.32

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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.