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Finding the Fourth Proportional to 428,139.87, 590,807.64 and 234,508.96

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Solution

The fourth proportional to 428,139.87, 590,807.64 and 234,508.96 is: 323,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,139.87 : 590,807.64 = 234,508.96 : x
  2. Step 2: Convert to fraction form
    428,139.87/590,807.64 = 234,508.96/x
  3. Step 3: Cross multiply
    428,139.87x = 590,807.64 × 234,508.96
  4. Step 4: Simplify right side
    428,139.87x = 138,549,685,216.45
  5. Step 5: Solve for x
    x = 138,549,685,216.45/428,139.87
  6. Step 6: Final answer
    x = 323,608.46

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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.