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Finding the Fourth Proportional to 428,474.98, 641,808.30 and 343,776.58

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Solution

The fourth proportional to 428,474.98, 641,808.30 and 343,776.58 is: 514,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,474.98 : 641,808.30 = 343,776.58 : x
  2. Step 2: Convert to fraction form
    428,474.98/641,808.30 = 343,776.58/x
  3. Step 3: Cross multiply
    428,474.98x = 641,808.30 × 343,776.58
  4. Step 4: Simplify right side
    428,474.98x = 220,638,662,389.61
  5. Step 5: Solve for x
    x = 220,638,662,389.61/428,474.98
  6. Step 6: Final answer
    x = 514,939.43

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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.