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Finding the Fourth Proportional to 428,158.20, 589,659.84 and 418,859.82

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Solution

The fourth proportional to 428,158.20, 589,659.84 and 418,859.82 is: 576,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,158.20 : 589,659.84 = 418,859.82 : x
  2. Step 2: Convert to fraction form
    428,158.20/589,659.84 = 418,859.82/x
  3. Step 3: Cross multiply
    428,158.20x = 589,659.84 × 418,859.82
  4. Step 4: Simplify right side
    428,158.20x = 246,984,814,443.63
  5. Step 5: Solve for x
    x = 246,984,814,443.63/428,158.20
  6. Step 6: Final answer
    x = 576,854.10

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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.