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Finding the Fourth Proportional to 405,801.64, 608,778.96 and 125,253.28

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Solution

The fourth proportional to 405,801.64, 608,778.96 and 125,253.28 is: 187,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,801.64 : 608,778.96 = 125,253.28 : x
  2. Step 2: Convert to fraction form
    405,801.64/608,778.96 = 125,253.28/x
  3. Step 3: Cross multiply
    405,801.64x = 608,778.96 × 125,253.28
  4. Step 4: Simplify right side
    405,801.64x = 76,251,561,534.99
  5. Step 5: Solve for x
    x = 76,251,561,534.99/405,801.64
  6. Step 6: Final answer
    x = 187,903.53

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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.