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Finding the Fourth Proportional to 428,475.40, 642,715.42 and 128,953.96

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Solution

The fourth proportional to 428,475.40, 642,715.42 and 128,953.96 is: 193,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,475.40 : 642,715.42 = 128,953.96 : x
  2. Step 2: Convert to fraction form
    428,475.40/642,715.42 = 128,953.96/x
  3. Step 3: Cross multiply
    428,475.40x = 642,715.42 × 128,953.96
  4. Step 4: Simplify right side
    428,475.40x = 82,880,698,562.06
  5. Step 5: Solve for x
    x = 82,880,698,562.06/428,475.40
  6. Step 6: Final answer
    x = 193,431.64

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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.