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Finding the Fourth Proportional to 405,888.38, 608,826.24 and 139,651.22

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Solution

The fourth proportional to 405,888.38, 608,826.24 and 139,651.22 is: 209,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,888.38 : 608,826.24 = 139,651.22 : x
  2. Step 2: Convert to fraction form
    405,888.38/608,826.24 = 139,651.22/x
  3. Step 3: Cross multiply
    405,888.38x = 608,826.24 × 139,651.22
  4. Step 4: Simplify right side
    405,888.38x = 85,023,327,184.01
  5. Step 5: Solve for x
    x = 85,023,327,184.01/405,888.38
  6. Step 6: Final answer
    x = 209,474.65

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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.