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Finding the Fourth Proportional to 428,101.36, 642,158.40 and 203,484.72

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Solution

The fourth proportional to 428,101.36, 642,158.40 and 203,484.72 is: 305,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,101.36 : 642,158.40 = 203,484.72 : x
  2. Step 2: Convert to fraction form
    428,101.36/642,158.40 = 203,484.72/x
  3. Step 3: Cross multiply
    428,101.36x = 642,158.40 × 203,484.72
  4. Step 4: Simplify right side
    428,101.36x = 130,669,422,219.65
  5. Step 5: Solve for x
    x = 130,669,422,219.65/428,101.36
  6. Step 6: Final answer
    x = 305,230.10

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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.