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Finding the Fourth Proportional to 384,640.96, 576,178.08 and 313,816

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Solution

The fourth proportional to 384,640.96, 576,178.08 and 313,816 is: 470,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,640.96 : 576,178.08 = 313,816 : x
  2. Step 2: Convert to fraction form
    384,640.96/576,178.08 = 313,816/x
  3. Step 3: Cross multiply
    384,640.96x = 576,178.08 × 313,816
  4. Step 4: Simplify right side
    384,640.96x = 180,813,900,353.28
  5. Step 5: Solve for x
    x = 180,813,900,353.28/384,640.96
  6. Step 6: Final answer
    x = 470,084.88

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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.