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Finding the Fourth Proportional to 430,699.63, 646,067.26 and 127,093.79

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Solution

The fourth proportional to 430,699.63, 646,067.26 and 127,093.79 is: 190,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,699.63 : 646,067.26 = 127,093.79 : x
  2. Step 2: Convert to fraction form
    430,699.63/646,067.26 = 127,093.79/x
  3. Step 3: Cross multiply
    430,699.63x = 646,067.26 × 127,093.79
  4. Step 4: Simplify right side
    430,699.63x = 82,111,137,111.82
  5. Step 5: Solve for x
    x = 82,111,137,111.82/430,699.63
  6. Step 6: Final answer
    x = 190,645.94

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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.