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Finding the Fourth Proportional to 427,909.24, 641,998.06 and 257,327.32

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Solution

The fourth proportional to 427,909.24, 641,998.06 and 257,327.32 is: 386,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,909.24 : 641,998.06 = 257,327.32 : x
  2. Step 2: Convert to fraction form
    427,909.24/641,998.06 = 257,327.32/x
  3. Step 3: Cross multiply
    427,909.24x = 641,998.06 × 257,327.32
  4. Step 4: Simplify right side
    427,909.24x = 165,203,640,225.00
  5. Step 5: Solve for x
    x = 165,203,640,225.00/427,909.24
  6. Step 6: Final answer
    x = 386,071.68

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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.