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Finding the Fourth Proportional to 405,862.92, 608,129.42 and 216,121.82

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Solution

The fourth proportional to 405,862.92, 608,129.42 and 216,121.82 is: 323,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,862.92 : 608,129.42 = 216,121.82 : x
  2. Step 2: Convert to fraction form
    405,862.92/608,129.42 = 216,121.82/x
  3. Step 3: Cross multiply
    405,862.92x = 608,129.42 × 216,121.82
  4. Step 4: Simplify right side
    405,862.92x = 131,430,037,045.94
  5. Step 5: Solve for x
    x = 131,430,037,045.94/405,862.92
  6. Step 6: Final answer
    x = 323,828.64

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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.