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Finding the Fourth Proportional to 457,662.40, 686,539.14 and 169,551.12

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Solution

The fourth proportional to 457,662.40, 686,539.14 and 169,551.12 is: 254,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,662.40 : 686,539.14 = 169,551.12 : x
  2. Step 2: Convert to fraction form
    457,662.40/686,539.14 = 169,551.12/x
  3. Step 3: Cross multiply
    457,662.40x = 686,539.14 × 169,551.12
  4. Step 4: Simplify right side
    457,662.40x = 116,403,483,003.27
  5. Step 5: Solve for x
    x = 116,403,483,003.27/457,662.40
  6. Step 6: Final answer
    x = 254,343.56

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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.