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Finding the Fourth Proportional to 405,418.63, 559,384.88 and 242,043.34

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Solution

The fourth proportional to 405,418.63, 559,384.88 and 242,043.34 is: 333,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,418.63 : 559,384.88 = 242,043.34 : x
  2. Step 2: Convert to fraction form
    405,418.63/559,384.88 = 242,043.34/x
  3. Step 3: Cross multiply
    405,418.63x = 559,384.88 × 242,043.34
  4. Step 4: Simplify right side
    405,418.63x = 135,395,383,907.35
  5. Step 5: Solve for x
    x = 135,395,383,907.35/405,418.63
  6. Step 6: Final answer
    x = 333,964.39

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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.