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Finding the Fourth Proportional to 470,310.94, 649,033.86 and 255,455.20

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Solution

The fourth proportional to 470,310.94, 649,033.86 and 255,455.20 is: 352,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,310.94 : 649,033.86 = 255,455.20 : x
  2. Step 2: Convert to fraction form
    470,310.94/649,033.86 = 255,455.20/x
  3. Step 3: Cross multiply
    470,310.94x = 649,033.86 × 255,455.20
  4. Step 4: Simplify right side
    470,310.94x = 165,799,074,513.07
  5. Step 5: Solve for x
    x = 165,799,074,513.07/470,310.94
  6. Step 6: Final answer
    x = 352,530.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.