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Finding the Fourth Proportional to 405,759.36, 608,201.92 and 169,038.72

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Solution

The fourth proportional to 405,759.36, 608,201.92 and 169,038.72 is: 253,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,759.36 : 608,201.92 = 169,038.72 : x
  2. Step 2: Convert to fraction form
    405,759.36/608,201.92 = 169,038.72/x
  3. Step 3: Cross multiply
    405,759.36x = 608,201.92 × 169,038.72
  4. Step 4: Simplify right side
    405,759.36x = 102,809,674,058.34
  5. Step 5: Solve for x
    x = 102,809,674,058.34/405,759.36
  6. Step 6: Final answer
    x = 253,375.98

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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.