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Finding the Fourth Proportional to 428,347.40, 642,522.50 and 108,499.14

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Solution

The fourth proportional to 428,347.40, 642,522.50 and 108,499.14 is: 162,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,347.40 : 642,522.50 = 108,499.14 : x
  2. Step 2: Convert to fraction form
    428,347.40/642,522.50 = 108,499.14/x
  3. Step 3: Cross multiply
    428,347.40x = 642,522.50 × 108,499.14
  4. Step 4: Simplify right side
    428,347.40x = 69,713,138,138.15
  5. Step 5: Solve for x
    x = 69,713,138,138.15/428,347.40
  6. Step 6: Final answer
    x = 162,749.07

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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.