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Finding the Fourth Proportional to 405,892.82, 560,289.09 and 363,377.46

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Solution

The fourth proportional to 405,892.82, 560,289.09 and 363,377.46 is: 501,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,892.82 : 560,289.09 = 363,377.46 : x
  2. Step 2: Convert to fraction form
    405,892.82/560,289.09 = 363,377.46/x
  3. Step 3: Cross multiply
    405,892.82x = 560,289.09 × 363,377.46
  4. Step 4: Simplify right side
    405,892.82x = 203,596,426,389.91
  5. Step 5: Solve for x
    x = 203,596,426,389.91/405,892.82
  6. Step 6: Final answer
    x = 501,601.45

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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.