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Finding the Fourth Proportional to 428,460.25, 643,142.63 and 418,809.42

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Solution

The fourth proportional to 428,460.25, 643,142.63 and 418,809.42 is: 628,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,460.25 : 643,142.63 = 418,809.42 : x
  2. Step 2: Convert to fraction form
    428,460.25/643,142.63 = 418,809.42/x
  3. Step 3: Cross multiply
    428,460.25x = 643,142.63 × 418,809.42
  4. Step 4: Simplify right side
    428,460.25x = 269,354,191,847.58
  5. Step 5: Solve for x
    x = 269,354,191,847.58/428,460.25
  6. Step 6: Final answer
    x = 628,656.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.