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Finding the Fourth Proportional to 427,157.69, 640,539.32 and 157,218.03

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Solution

The fourth proportional to 427,157.69, 640,539.32 and 157,218.03 is: 235,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,157.69 : 640,539.32 = 157,218.03 : x
  2. Step 2: Convert to fraction form
    427,157.69/640,539.32 = 157,218.03/x
  3. Step 3: Cross multiply
    427,157.69x = 640,539.32 × 157,218.03
  4. Step 4: Simplify right side
    427,157.69x = 100,704,330,027.94
  5. Step 5: Solve for x
    x = 100,704,330,027.94/427,157.69
  6. Step 6: Final answer
    x = 235,754.46

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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.