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Finding the Fourth Proportional to 457,611.96, 686,427.03 and 322,121.88

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Solution

The fourth proportional to 457,611.96, 686,427.03 and 322,121.88 is: 483,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,611.96 : 686,427.03 = 322,121.88 : x
  2. Step 2: Convert to fraction form
    457,611.96/686,427.03 = 322,121.88/x
  3. Step 3: Cross multiply
    457,611.96x = 686,427.03 × 322,121.88
  4. Step 4: Simplify right side
    457,611.96x = 221,113,165,386.42
  5. Step 5: Solve for x
    x = 221,113,165,386.42/457,611.96
  6. Step 6: Final answer
    x = 483,189.22

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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.