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Finding the Fourth Proportional to 470,662.45, 649,510.30 and 255,803.82

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Solution

The fourth proportional to 470,662.45, 649,510.30 and 255,803.82 is: 353,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,662.45 : 649,510.30 = 255,803.82 : x
  2. Step 2: Convert to fraction form
    470,662.45/649,510.30 = 255,803.82/x
  3. Step 3: Cross multiply
    470,662.45x = 649,510.30 × 255,803.82
  4. Step 4: Simplify right side
    470,662.45x = 166,147,215,968.04
  5. Step 5: Solve for x
    x = 166,147,215,968.04/470,662.45
  6. Step 6: Final answer
    x = 353,007.16

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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.