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Finding the Fourth Proportional to 585,124.20, 820,279.80 and 585,124.20

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Solution

The fourth proportional to 585,124.20, 820,279.80 and 585,124.20 is: 820,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,124.20 : 820,279.80 = 585,124.20 : x
  2. Step 2: Convert to fraction form
    585,124.20/820,279.80 = 585,124.20/x
  3. Step 3: Cross multiply
    585,124.20x = 820,279.80 × 585,124.20
  4. Step 4: Simplify right side
    585,124.20x = 479,965,561,751.16
  5. Step 5: Solve for x
    x = 479,965,561,751.16/585,124.20
  6. Step 6: Final answer
    x = 820,279.80

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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.