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Finding the Fourth Proportional to 428,475.98, 641,809.80 and 343,777.58

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Solution

The fourth proportional to 428,475.98, 641,809.80 and 343,777.58 is: 514,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,475.98 : 641,809.80 = 343,777.58 : x
  2. Step 2: Convert to fraction form
    428,475.98/641,809.80 = 343,777.58/x
  3. Step 3: Cross multiply
    428,475.98x = 641,809.80 × 343,777.58
  4. Step 4: Simplify right side
    428,475.98x = 220,639,819,864.28
  5. Step 5: Solve for x
    x = 220,639,819,864.28/428,475.98
  6. Step 6: Final answer
    x = 514,940.93

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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.