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Finding the Fourth Proportional to 405,143.37, 607,744.62 and 138,901.64

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Solution

The fourth proportional to 405,143.37, 607,744.62 and 138,901.64 is: 208,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,143.37 : 607,744.62 = 138,901.64 : x
  2. Step 2: Convert to fraction form
    405,143.37/607,744.62 = 138,901.64/x
  3. Step 3: Cross multiply
    405,143.37x = 607,744.62 × 138,901.64
  4. Step 4: Simplify right side
    405,143.37x = 84,416,721,380.45
  5. Step 5: Solve for x
    x = 84,416,721,380.45/405,143.37
  6. Step 6: Final answer
    x = 208,362.59

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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.