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Finding the Fourth Proportional to 405,968.70, 609,039.45 and 125,514.30

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Solution

The fourth proportional to 405,968.70, 609,039.45 and 125,514.30 is: 188,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,968.70 : 609,039.45 = 125,514.30 : x
  2. Step 2: Convert to fraction form
    405,968.70/609,039.45 = 125,514.30/x
  3. Step 3: Cross multiply
    405,968.70x = 609,039.45 × 125,514.30
  4. Step 4: Simplify right side
    405,968.70x = 76,443,160,239.14
  5. Step 5: Solve for x
    x = 76,443,160,239.14/405,968.70
  6. Step 6: Final answer
    x = 188,298.16

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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.