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Finding the Fourth Proportional to 405,892.57, 560,288.75 and 363,377.21

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Solution

The fourth proportional to 405,892.57, 560,288.75 and 363,377.21 is: 501,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,892.57 : 560,288.75 = 363,377.21 : x
  2. Step 2: Convert to fraction form
    405,892.57/560,288.75 = 363,377.21/x
  3. Step 3: Cross multiply
    405,892.57x = 560,288.75 × 363,377.21
  4. Step 4: Simplify right side
    405,892.57x = 203,596,160,952.50
  5. Step 5: Solve for x
    x = 203,596,160,952.50/405,892.57
  6. Step 6: Final answer
    x = 501,601.10

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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.