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Finding the Fourth Proportional to 428,154.66, 590,854.14 and 234,558.12

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Solution

The fourth proportional to 428,154.66, 590,854.14 and 234,558.12 is: 323,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,154.66 : 590,854.14 = 234,558.12 : x
  2. Step 2: Convert to fraction form
    428,154.66/590,854.14 = 234,558.12/x
  3. Step 3: Cross multiply
    428,154.66x = 590,854.14 × 234,558.12
  4. Step 4: Simplify right side
    428,154.66x = 138,589,636,272.62
  5. Step 5: Solve for x
    x = 138,589,636,272.62/428,154.66
  6. Step 6: Final answer
    x = 323,690.59

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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.