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Finding the Fourth Proportional to 428,549.65, 642,765 and 300,076.39

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Solution

The fourth proportional to 428,549.65, 642,765 and 300,076.39 is: 450,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,549.65 : 642,765 = 300,076.39 : x
  2. Step 2: Convert to fraction form
    428,549.65/642,765 = 300,076.39/x
  3. Step 3: Cross multiply
    428,549.65x = 642,765 × 300,076.39
  4. Step 4: Simplify right side
    428,549.65x = 192,878,600,818.35
  5. Step 5: Solve for x
    x = 192,878,600,818.35/428,549.65
  6. Step 6: Final answer
    x = 450,072.94

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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.