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Finding the Fourth Proportional to 585,125.20, 820,281.20 and 585,125.20

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Solution

The fourth proportional to 585,125.20, 820,281.20 and 585,125.20 is: 820,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,125.20 : 820,281.20 = 585,125.20 : x
  2. Step 2: Convert to fraction form
    585,125.20/820,281.20 = 585,125.20/x
  3. Step 3: Cross multiply
    585,125.20x = 820,281.20 × 585,125.20
  4. Step 4: Simplify right side
    585,125.20x = 479,967,201,206.24
  5. Step 5: Solve for x
    x = 479,967,201,206.24/585,125.20
  6. Step 6: Final answer
    x = 820,281.20

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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.