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Finding the Fourth Proportional to 428,481.16, 642,165.10 and 175,474.69

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Solution

The fourth proportional to 428,481.16, 642,165.10 and 175,474.69 is: 262,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,481.16 : 642,165.10 = 175,474.69 : x
  2. Step 2: Convert to fraction form
    428,481.16/642,165.10 = 175,474.69/x
  3. Step 3: Cross multiply
    428,481.16x = 642,165.10 × 175,474.69
  4. Step 4: Simplify right side
    428,481.16x = 112,683,719,807.22
  5. Step 5: Solve for x
    x = 112,683,719,807.22/428,481.16
  6. Step 6: Final answer
    x = 262,984.07

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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.