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Finding the Fourth Proportional to 405,729.42, 608,649.52 and 169,016.76

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Solution

The fourth proportional to 405,729.42, 608,649.52 and 169,016.76 is: 253,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,729.42 : 608,649.52 = 169,016.76 : x
  2. Step 2: Convert to fraction form
    405,729.42/608,649.52 = 169,016.76/x
  3. Step 3: Cross multiply
    405,729.42x = 608,649.52 × 169,016.76
  4. Step 4: Simplify right side
    405,729.42x = 102,871,969,845.96
  5. Step 5: Solve for x
    x = 102,871,969,845.96/405,729.42
  6. Step 6: Final answer
    x = 253,548.21

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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.