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Finding the Fourth Proportional to 428,643.63, 642,515.28 and 144,235.44

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Solution

The fourth proportional to 428,643.63, 642,515.28 and 144,235.44 is: 216,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,643.63 : 642,515.28 = 144,235.44 : x
  2. Step 2: Convert to fraction form
    428,643.63/642,515.28 = 144,235.44/x
  3. Step 3: Cross multiply
    428,643.63x = 642,515.28 × 144,235.44
  4. Step 4: Simplify right side
    428,643.63x = 92,673,474,117.52
  5. Step 5: Solve for x
    x = 92,673,474,117.52/428,643.63
  6. Step 6: Final answer
    x = 216,201.68

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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.