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Finding the Fourth Proportional to 405,274.98, 607,911.66 and 380,612.80

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Solution

The fourth proportional to 405,274.98, 607,911.66 and 380,612.80 is: 570,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,274.98 : 607,911.66 = 380,612.80 : x
  2. Step 2: Convert to fraction form
    405,274.98/607,911.66 = 380,612.80/x
  3. Step 3: Cross multiply
    405,274.98x = 607,911.66 × 380,612.80
  4. Step 4: Simplify right side
    405,274.98x = 231,378,959,825.14
  5. Step 5: Solve for x
    x = 231,378,959,825.14/405,274.98
  6. Step 6: Final answer
    x = 570,918.44

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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.