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Finding the Fourth Proportional to 585,090.20, 820,897.75 and 585,090.20

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Solution

The fourth proportional to 585,090.20, 820,897.75 and 585,090.20 is: 820,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,090.20 : 820,897.75 = 585,090.20 : x
  2. Step 2: Convert to fraction form
    585,090.20/820,897.75 = 585,090.20/x
  3. Step 3: Cross multiply
    585,090.20x = 820,897.75 × 585,090.20
  4. Step 4: Simplify right side
    585,090.20x = 480,299,228,727.05
  5. Step 5: Solve for x
    x = 480,299,228,727.05/585,090.20
  6. Step 6: Final answer
    x = 820,897.75

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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.