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Finding the Fourth Proportional to 585,037.20, 820,823.55 and 585,037.20

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Solution

The fourth proportional to 585,037.20, 820,823.55 and 585,037.20 is: 820,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,037.20 : 820,823.55 = 585,037.20 : x
  2. Step 2: Convert to fraction form
    585,037.20/820,823.55 = 585,037.20/x
  3. Step 3: Cross multiply
    585,037.20x = 820,823.55 × 585,037.20
  4. Step 4: Simplify right side
    585,037.20x = 480,212,311,386.06
  5. Step 5: Solve for x
    x = 480,212,311,386.06/585,037.20
  6. Step 6: Final answer
    x = 820,823.55

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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.