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Finding the Fourth Proportional to 395,157.83, 592,762.21 and 138,958.97

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Solution

The fourth proportional to 395,157.83, 592,762.21 and 138,958.97 is: 208,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,157.83 : 592,762.21 = 138,958.97 : x
  2. Step 2: Convert to fraction form
    395,157.83/592,762.21 = 138,958.97/x
  3. Step 3: Cross multiply
    395,157.83x = 592,762.21 × 138,958.97
  4. Step 4: Simplify right side
    395,157.83x = 82,369,622,845.32
  5. Step 5: Solve for x
    x = 82,369,622,845.32/395,157.83
  6. Step 6: Final answer
    x = 208,447.40

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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.