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Finding the Fourth Proportional to 470,911.59, 649,848.83 and 256,049.78

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Solution

The fourth proportional to 470,911.59, 649,848.83 and 256,049.78 is: 353,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,911.59 : 649,848.83 = 256,049.78 : x
  2. Step 2: Convert to fraction form
    470,911.59/649,848.83 = 256,049.78/x
  3. Step 3: Cross multiply
    470,911.59x = 649,848.83 × 256,049.78
  4. Step 4: Simplify right side
    470,911.59x = 166,393,645,425.26
  5. Step 5: Solve for x
    x = 166,393,645,425.26/470,911.59
  6. Step 6: Final answer
    x = 353,343.70

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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.