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Finding the Fourth Proportional to 585,114.20, 820,265.80 and 585,114.20

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Solution

The fourth proportional to 585,114.20, 820,265.80 and 585,114.20 is: 820,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,114.20 : 820,265.80 = 585,114.20 : x
  2. Step 2: Convert to fraction form
    585,114.20/820,265.80 = 585,114.20/x
  3. Step 3: Cross multiply
    585,114.20x = 820,265.80 × 585,114.20
  4. Step 4: Simplify right side
    585,114.20x = 479,949,167,354.36
  5. Step 5: Solve for x
    x = 479,949,167,354.36/585,114.20
  6. Step 6: Final answer
    x = 820,265.80

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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.