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Finding the Fourth Proportional to 428,459.25, 643,141.13 and 418,808.42

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Solution

The fourth proportional to 428,459.25, 643,141.13 and 418,808.42 is: 628,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,459.25 : 643,141.13 = 418,808.42 : x
  2. Step 2: Convert to fraction form
    428,459.25/643,141.13 = 418,808.42/x
  3. Step 3: Cross multiply
    428,459.25x = 643,141.13 × 418,808.42
  4. Step 4: Simplify right side
    428,459.25x = 269,352,920,492.32
  5. Step 5: Solve for x
    x = 269,352,920,492.32/428,459.25
  6. Step 6: Final answer
    x = 628,654.70

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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.