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Finding the Fourth Proportional to 428,458.25, 643,139.63 and 418,807.42

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Solution

The fourth proportional to 428,458.25, 643,139.63 and 418,807.42 is: 628,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,458.25 : 643,139.63 = 418,807.42 : x
  2. Step 2: Convert to fraction form
    428,458.25/643,139.63 = 418,807.42/x
  3. Step 3: Cross multiply
    428,458.25x = 643,139.63 × 418,807.42
  4. Step 4: Simplify right side
    428,458.25x = 269,351,653,297.62
  5. Step 5: Solve for x
    x = 269,351,653,297.62/428,458.25
  6. Step 6: Final answer
    x = 628,653.21

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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.