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Finding the Fourth Proportional to 647,219.40, 970,829.10 and 363,784.20

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Solution

The fourth proportional to 647,219.40, 970,829.10 and 363,784.20 is: 545,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,219.40 : 970,829.10 = 363,784.20 : x
  2. Step 2: Convert to fraction form
    647,219.40/970,829.10 = 363,784.20/x
  3. Step 3: Cross multiply
    647,219.40x = 970,829.10 × 363,784.20
  4. Step 4: Simplify right side
    647,219.40x = 353,172,287,480.22
  5. Step 5: Solve for x
    x = 353,172,287,480.22/647,219.40
  6. Step 6: Final answer
    x = 545,676.30

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Double scale
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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.