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Finding the Fourth Proportional to 470,451.60, 649,226.32 and 255,591.61

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Solution

The fourth proportional to 470,451.60, 649,226.32 and 255,591.61 is: 352,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,451.60 : 649,226.32 = 255,591.61 : x
  2. Step 2: Convert to fraction form
    470,451.60/649,226.32 = 255,591.61/x
  3. Step 3: Cross multiply
    470,451.60x = 649,226.32 × 255,591.61
  4. Step 4: Simplify right side
    470,451.60x = 165,936,798,121.13
  5. Step 5: Solve for x
    x = 165,936,798,121.13/470,451.60
  6. Step 6: Final answer
    x = 352,718.11

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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.