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Finding the Fourth Proportional to 405,303.75, 559,029.09 and 284,472

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Solution

The fourth proportional to 405,303.75, 559,029.09 and 284,472 is: 392,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,303.75 : 559,029.09 = 284,472 : x
  2. Step 2: Convert to fraction form
    405,303.75/559,029.09 = 284,472/x
  3. Step 3: Cross multiply
    405,303.75x = 559,029.09 × 284,472
  4. Step 4: Simplify right side
    405,303.75x = 159,028,123,290.48
  5. Step 5: Solve for x
    x = 159,028,123,290.48/405,303.75
  6. Step 6: Final answer
    x = 392,367.76

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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.