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Finding the Fourth Proportional to 428,892.76, 643,152.23 and 144,530.31

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Solution

The fourth proportional to 428,892.76, 643,152.23 and 144,530.31 is: 216,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892.76 : 643,152.23 = 144,530.31 : x
  2. Step 2: Convert to fraction form
    428,892.76/643,152.23 = 144,530.31/x
  3. Step 3: Cross multiply
    428,892.76x = 643,152.23 × 144,530.31
  4. Step 4: Simplify right side
    428,892.76x = 92,954,990,456.44
  5. Step 5: Solve for x
    x = 92,954,990,456.44/428,892.76
  6. Step 6: Final answer
    x = 216,732.48

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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.