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Finding the Fourth Proportional to 523,816, 722,866.08 and 285,352

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Solution

The fourth proportional to 523,816, 722,866.08 and 285,352 is: 393,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,816 : 722,866.08 = 285,352 : x
  2. Step 2: Convert to fraction form
    523,816/722,866.08 = 285,352/x
  3. Step 3: Cross multiply
    523,816x = 722,866.08 × 285,352
  4. Step 4: Simplify right side
    523,816x = 206,271,281,660.16
  5. Step 5: Solve for x
    x = 206,271,281,660.16/523,816
  6. Step 6: Final answer
    x = 393,785.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.