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Finding the Fourth Proportional to 405,387.83, 559,431.51 and 224,104.43

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Solution

The fourth proportional to 405,387.83, 559,431.51 and 224,104.43 is: 309,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,387.83 : 559,431.51 = 224,104.43 : x
  2. Step 2: Convert to fraction form
    405,387.83/559,431.51 = 224,104.43/x
  3. Step 3: Cross multiply
    405,387.83x = 559,431.51 × 224,104.43
  4. Step 4: Simplify right side
    405,387.83x = 125,371,079,672.59
  5. Step 5: Solve for x
    x = 125,371,079,672.59/405,387.83
  6. Step 6: Final answer
    x = 309,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.