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Finding the Fourth Proportional to 470,568.41, 705,455.77 and 204,128.21

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Solution

The fourth proportional to 470,568.41, 705,455.77 and 204,128.21 is: 306,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,568.41 : 705,455.77 = 204,128.21 : x
  2. Step 2: Convert to fraction form
    470,568.41/705,455.77 = 204,128.21/x
  3. Step 3: Cross multiply
    470,568.41x = 705,455.77 × 204,128.21
  4. Step 4: Simplify right side
    470,568.41x = 144,003,422,543.63
  5. Step 5: Solve for x
    x = 144,003,422,543.63/470,568.41
  6. Step 6: Final answer
    x = 306,020.17

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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.