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Finding the Fourth Proportional to 647,561.80, 971,342.70 and 505,844.20

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Solution

The fourth proportional to 647,561.80, 971,342.70 and 505,844.20 is: 758,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,561.80 : 971,342.70 = 505,844.20 : x
  2. Step 2: Convert to fraction form
    647,561.80/971,342.70 = 505,844.20/x
  3. Step 3: Cross multiply
    647,561.80x = 971,342.70 × 505,844.20
  4. Step 4: Simplify right side
    647,561.80x = 491,348,071,007.34
  5. Step 5: Solve for x
    x = 491,348,071,007.34/647,561.80
  6. Step 6: Final answer
    x = 758,766.30

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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.