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Finding the Fourth Proportional to 408,026.41, 612,039.16 and 141,786.96

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Solution

The fourth proportional to 408,026.41, 612,039.16 and 141,786.96 is: 212,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,026.41 : 612,039.16 = 141,786.96 : x
  2. Step 2: Convert to fraction form
    408,026.41/612,039.16 = 141,786.96/x
  3. Step 3: Cross multiply
    408,026.41x = 612,039.16 × 141,786.96
  4. Step 4: Simplify right side
    408,026.41x = 86,779,170,178.22
  5. Step 5: Solve for x
    x = 86,779,170,178.22/408,026.41
  6. Step 6: Final answer
    x = 212,680.28

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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.