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Finding the Fourth Proportional to 286,399.92, 429,566.64 and 76,054.32

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Solution

The fourth proportional to 286,399.92, 429,566.64 and 76,054.32 is: 114,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,399.92 : 429,566.64 = 76,054.32 : x
  2. Step 2: Convert to fraction form
    286,399.92/429,566.64 = 76,054.32/x
  3. Step 3: Cross multiply
    286,399.92x = 429,566.64 × 76,054.32
  4. Step 4: Simplify right side
    286,399.92x = 32,670,398,699.88
  5. Step 5: Solve for x
    x = 32,670,398,699.88/286,399.92
  6. Step 6: Final answer
    x = 114,072.65

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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.