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Finding the Fourth Proportional to 427,411.20, 641,116.80 and 409,209.60

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Solution

The fourth proportional to 427,411.20, 641,116.80 and 409,209.60 is: 613,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,411.20 : 641,116.80 = 409,209.60 : x
  2. Step 2: Convert to fraction form
    427,411.20/641,116.80 = 409,209.60/x
  3. Step 3: Cross multiply
    427,411.20x = 641,116.80 × 409,209.60
  4. Step 4: Simplify right side
    427,411.20x = 262,351,149,281.28
  5. Step 5: Solve for x
    x = 262,351,149,281.28/427,411.20
  6. Step 6: Final answer
    x = 613,814.40

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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.