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Finding the Fourth Proportional to 470,758.75, 705,740.10 and 204,318.97

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Solution

The fourth proportional to 470,758.75, 705,740.10 and 204,318.97 is: 306,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,758.75 : 705,740.10 = 204,318.97 : x
  2. Step 2: Convert to fraction form
    470,758.75/705,740.10 = 204,318.97/x
  3. Step 3: Cross multiply
    470,758.75x = 705,740.10 × 204,318.97
  4. Step 4: Simplify right side
    470,758.75x = 144,196,090,319.70
  5. Step 5: Solve for x
    x = 144,196,090,319.70/470,758.75
  6. Step 6: Final answer
    x = 306,305.70

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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.