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Finding the Fourth Proportional to 405,076.20, 607,322.70 and 227,637.60

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Solution

The fourth proportional to 405,076.20, 607,322.70 and 227,637.60 is: 341,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,076.20 : 607,322.70 = 227,637.60 : x
  2. Step 2: Convert to fraction form
    405,076.20/607,322.70 = 227,637.60/x
  3. Step 3: Cross multiply
    405,076.20x = 607,322.70 × 227,637.60
  4. Step 4: Simplify right side
    405,076.20x = 138,249,481,853.52
  5. Step 5: Solve for x
    x = 138,249,481,853.52/405,076.20
  6. Step 6: Final answer
    x = 341,292.53

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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.