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Finding the Fourth Proportional to 585,115.20, 820,267.20 and 585,115.20

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Solution

The fourth proportional to 585,115.20, 820,267.20 and 585,115.20 is: 820,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,115.20 : 820,267.20 = 585,115.20 : x
  2. Step 2: Convert to fraction form
    585,115.20/820,267.20 = 585,115.20/x
  3. Step 3: Cross multiply
    585,115.20x = 820,267.20 × 585,115.20
  4. Step 4: Simplify right side
    585,115.20x = 479,950,806,781.44
  5. Step 5: Solve for x
    x = 479,950,806,781.44/585,115.20
  6. Step 6: Final answer
    x = 820,267.20

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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.