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Finding the Fourth Proportional to 470,807.64, 649,727.28 and 255,962.16

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Solution

The fourth proportional to 470,807.64, 649,727.28 and 255,962.16 is: 353,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,807.64 : 649,727.28 = 255,962.16 : x
  2. Step 2: Convert to fraction form
    470,807.64/649,727.28 = 255,962.16/x
  3. Step 3: Cross multiply
    470,807.64x = 649,727.28 × 255,962.16
  4. Step 4: Simplify right side
    470,807.64x = 166,305,597,999.73
  5. Step 5: Solve for x
    x = 166,305,597,999.73/470,807.64
  6. Step 6: Final answer
    x = 353,234.71

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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.