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Finding the Fourth Proportional to 428,113.65, 590,652.88 and 246,821.58

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Solution

The fourth proportional to 428,113.65, 590,652.88 and 246,821.58 is: 340,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,113.65 : 590,652.88 = 246,821.58 : x
  2. Step 2: Convert to fraction form
    428,113.65/590,652.88 = 246,821.58/x
  3. Step 3: Cross multiply
    428,113.65x = 590,652.88 × 246,821.58
  4. Step 4: Simplify right side
    428,113.65x = 145,785,876,456.10
  5. Step 5: Solve for x
    x = 145,785,876,456.10/428,113.65
  6. Step 6: Final answer
    x = 340,530.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.