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Finding the Fourth Proportional to 523,935, 723,030.30 and 285,471

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Solution

The fourth proportional to 523,935, 723,030.30 and 285,471 is: 393,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,935 : 723,030.30 = 285,471 : x
  2. Step 2: Convert to fraction form
    523,935/723,030.30 = 285,471/x
  3. Step 3: Cross multiply
    523,935x = 723,030.30 × 285,471
  4. Step 4: Simplify right side
    523,935x = 206,404,182,771.30
  5. Step 5: Solve for x
    x = 206,404,182,771.30/523,935
  6. Step 6: Final answer
    x = 393,949.98

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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.