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Finding the Fourth Proportional to 578,665.50, 868,469.13 and 298,262.94

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Solution

The fourth proportional to 578,665.50, 868,469.13 and 298,262.94 is: 447,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,665.50 : 868,469.13 = 298,262.94 : x
  2. Step 2: Convert to fraction form
    578,665.50/868,469.13 = 298,262.94/x
  3. Step 3: Cross multiply
    578,665.50x = 868,469.13 × 298,262.94
  4. Step 4: Simplify right side
    578,665.50x = 259,032,156,013.04
  5. Step 5: Solve for x
    x = 259,032,156,013.04/578,665.50
  6. Step 6: Final answer
    x = 447,637.12

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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.