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Finding the Fourth Proportional to 427,909.64, 641,871.74 and 161,795.48

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Solution

The fourth proportional to 427,909.64, 641,871.74 and 161,795.48 is: 242,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,909.64 : 641,871.74 = 161,795.48 : x
  2. Step 2: Convert to fraction form
    427,909.64/641,871.74 = 161,795.48/x
  3. Step 3: Cross multiply
    427,909.64x = 641,871.74 × 161,795.48
  4. Step 4: Simplify right side
    427,909.64x = 103,851,943,466.87
  5. Step 5: Solve for x
    x = 103,851,943,466.87/427,909.64
  6. Step 6: Final answer
    x = 242,695.97

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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.