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Finding the Fourth Proportional to 585,087.45, 820,228.35 and 585,087.45

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Solution

The fourth proportional to 585,087.45, 820,228.35 and 585,087.45 is: 820,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,087.45 : 820,228.35 = 585,087.45 : x
  2. Step 2: Convert to fraction form
    585,087.45/820,228.35 = 585,087.45/x
  3. Step 3: Cross multiply
    585,087.45x = 820,228.35 × 585,087.45
  4. Step 4: Simplify right side
    585,087.45x = 479,905,313,719.21
  5. Step 5: Solve for x
    x = 479,905,313,719.21/585,087.45
  6. Step 6: Final answer
    x = 820,228.35

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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.