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Finding the Fourth Proportional to 427,420.20, 641,130.30 and 409,218.60

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Solution

The fourth proportional to 427,420.20, 641,130.30 and 409,218.60 is: 613,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,420.20 : 641,130.30 = 409,218.60 : x
  2. Step 2: Convert to fraction form
    427,420.20/641,130.30 = 409,218.60/x
  3. Step 3: Cross multiply
    427,420.20x = 641,130.30 × 409,218.60
  4. Step 4: Simplify right side
    427,420.20x = 262,362,443,783.58
  5. Step 5: Solve for x
    x = 262,362,443,783.58/427,420.20
  6. Step 6: Final answer
    x = 613,827.90

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Similar ratio
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1.5x scale

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.