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Finding the Fourth Proportional to 405,864.30, 608,131.47 and 216,123.21

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Solution

The fourth proportional to 405,864.30, 608,131.47 and 216,123.21 is: 323,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,864.30 : 608,131.47 = 216,123.21 : x
  2. Step 2: Convert to fraction form
    405,864.30/608,131.47 = 216,123.21/x
  3. Step 3: Cross multiply
    405,864.30x = 608,131.47 × 216,123.21
  4. Step 4: Simplify right side
    405,864.30x = 131,431,325,398.42
  5. Step 5: Solve for x
    x = 131,431,325,398.42/405,864.30
  6. Step 6: Final answer
    x = 323,830.71

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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.