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Finding the Fourth Proportional to 428,703.46, 643,096.19 and 162,392.47

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Solution

The fourth proportional to 428,703.46, 643,096.19 and 162,392.47 is: 243,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,703.46 : 643,096.19 = 162,392.47 : x
  2. Step 2: Convert to fraction form
    428,703.46/643,096.19 = 162,392.47/x
  3. Step 3: Cross multiply
    428,703.46x = 643,096.19 × 162,392.47
  4. Step 4: Simplify right side
    428,703.46x = 104,433,977,539.93
  5. Step 5: Solve for x
    x = 104,433,977,539.93/428,703.46
  6. Step 6: Final answer
    x = 243,604.23

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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.