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Finding the Fourth Proportional to 427,534.40, 640,878.60 and 202,499.30

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Solution

The fourth proportional to 427,534.40, 640,878.60 and 202,499.30 is: 303,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,534.40 : 640,878.60 = 202,499.30 : x
  2. Step 2: Convert to fraction form
    427,534.40/640,878.60 = 202,499.30/x
  3. Step 3: Cross multiply
    427,534.40x = 640,878.60 × 202,499.30
  4. Step 4: Simplify right side
    427,534.40x = 129,777,467,884.98
  5. Step 5: Solve for x
    x = 129,777,467,884.98/427,534.40
  6. Step 6: Final answer
    x = 303,548.60

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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.