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Finding the Fourth Proportional to 428,527.52, 642,800.39 and 144,226.70

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Solution

The fourth proportional to 428,527.52, 642,800.39 and 144,226.70 is: 216,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,527.52 : 642,800.39 = 144,226.70 : x
  2. Step 2: Convert to fraction form
    428,527.52/642,800.39 = 144,226.70/x
  3. Step 3: Cross multiply
    428,527.52x = 642,800.39 × 144,226.70
  4. Step 4: Simplify right side
    428,527.52x = 92,708,975,073.28
  5. Step 5: Solve for x
    x = 92,708,975,073.28/428,527.52
  6. Step 6: Final answer
    x = 216,343.11

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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.