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Finding the Fourth Proportional to 428,680.32, 642,889.14 and 296,410.56

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Solution

The fourth proportional to 428,680.32, 642,889.14 and 296,410.56 is: 444,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,680.32 : 642,889.14 = 296,410.56 : x
  2. Step 2: Convert to fraction form
    428,680.32/642,889.14 = 296,410.56/x
  3. Step 3: Cross multiply
    428,680.32x = 642,889.14 × 296,410.56
  4. Step 4: Simplify right side
    428,680.32x = 190,559,130,005.32
  5. Step 5: Solve for x
    x = 190,559,130,005.32/428,680.32
  6. Step 6: Final answer
    x = 444,525.03

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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.