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Finding the Fourth Proportional to 405,420.39, 559,495.89 and 269,219.48

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Solution

The fourth proportional to 405,420.39, 559,495.89 and 269,219.48 is: 371,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,420.39 : 559,495.89 = 269,219.48 : x
  2. Step 2: Convert to fraction form
    405,420.39/559,495.89 = 269,219.48/x
  3. Step 3: Cross multiply
    405,420.39x = 559,495.89 × 269,219.48
  4. Step 4: Simplify right side
    405,420.39x = 150,627,189,770.46
  5. Step 5: Solve for x
    x = 150,627,189,770.46/405,420.39
  6. Step 6: Final answer
    x = 371,533.34

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1.5x scale

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.