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Finding the Fourth Proportional to 204,578.40, 306,864.72 and 56,834.40

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Solution

The fourth proportional to 204,578.40, 306,864.72 and 56,834.40 is: 85,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,578.40 : 306,864.72 = 56,834.40 : x
  2. Step 2: Convert to fraction form
    204,578.40/306,864.72 = 56,834.40/x
  3. Step 3: Cross multiply
    204,578.40x = 306,864.72 × 56,834.40
  4. Step 4: Simplify right side
    204,578.40x = 17,440,472,242.37
  5. Step 5: Solve for x
    x = 17,440,472,242.37/204,578.40
  6. Step 6: Final answer
    x = 85,250.80

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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.