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Finding the Fourth Proportional to 585,136.20, 820,296.60 and 585,136.20

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Solution

The fourth proportional to 585,136.20, 820,296.60 and 585,136.20 is: 820,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,136.20 : 820,296.60 = 585,136.20 : x
  2. Step 2: Convert to fraction form
    585,136.20/820,296.60 = 585,136.20/x
  3. Step 3: Cross multiply
    585,136.20x = 820,296.60 × 585,136.20
  4. Step 4: Simplify right side
    585,136.20x = 479,985,235,396.92
  5. Step 5: Solve for x
    x = 479,985,235,396.92/585,136.20
  6. Step 6: Final answer
    x = 820,296.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.