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Finding the Fourth Proportional to 523,804, 722,849.52 and 285,340

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Solution

The fourth proportional to 523,804, 722,849.52 and 285,340 is: 393,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,804 : 722,849.52 = 285,340 : x
  2. Step 2: Convert to fraction form
    523,804/722,849.52 = 285,340/x
  3. Step 3: Cross multiply
    523,804x = 722,849.52 × 285,340
  4. Step 4: Simplify right side
    523,804x = 206,257,882,036.80
  5. Step 5: Solve for x
    x = 206,257,882,036.80/523,804
  6. Step 6: Final answer
    x = 393,769.20

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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.