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Finding the Fourth Proportional to 405,453.54, 559,403.08 and 282,942.66

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Solution

The fourth proportional to 405,453.54, 559,403.08 and 282,942.66 is: 390,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,453.54 : 559,403.08 = 282,942.66 : x
  2. Step 2: Convert to fraction form
    405,453.54/559,403.08 = 282,942.66/x
  3. Step 3: Cross multiply
    405,453.54x = 559,403.08 × 282,942.66
  4. Step 4: Simplify right side
    405,453.54x = 158,278,995,467.39
  5. Step 5: Solve for x
    x = 158,278,995,467.39/405,453.54
  6. Step 6: Final answer
    x = 390,375.17

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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.