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Finding the Fourth Proportional to 428,428.09, 642,494.17 and 175,636.81

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Solution

The fourth proportional to 428,428.09, 642,494.17 and 175,636.81 is: 263,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,428.09 : 642,494.17 = 175,636.81 : x
  2. Step 2: Convert to fraction form
    428,428.09/642,494.17 = 175,636.81/x
  3. Step 3: Cross multiply
    428,428.09x = 642,494.17 × 175,636.81
  4. Step 4: Simplify right side
    428,428.09x = 112,845,626,462.40
  5. Step 5: Solve for x
    x = 112,845,626,462.40/428,428.09
  6. Step 6: Final answer
    x = 263,394.56

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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.