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Finding the Fourth Proportional to 578,086.40, 867,113.40 and 262,542.80

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Solution

The fourth proportional to 578,086.40, 867,113.40 and 262,542.80 is: 393,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,086.40 : 867,113.40 = 262,542.80 : x
  2. Step 2: Convert to fraction form
    578,086.40/867,113.40 = 262,542.80/x
  3. Step 3: Cross multiply
    578,086.40x = 867,113.40 × 262,542.80
  4. Step 4: Simplify right side
    578,086.40x = 227,654,379,953.52
  5. Step 5: Solve for x
    x = 227,654,379,953.52/578,086.40
  6. Step 6: Final answer
    x = 393,806.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.