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Finding the Fourth Proportional to 470,711.73, 649,586.81 and 255,851.65

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Solution

The fourth proportional to 470,711.73, 649,586.81 and 255,851.65 is: 353,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,711.73 : 649,586.81 = 255,851.65 : x
  2. Step 2: Convert to fraction form
    470,711.73/649,586.81 = 255,851.65/x
  3. Step 3: Cross multiply
    470,711.73x = 649,586.81 × 255,851.65
  4. Step 4: Simplify right side
    470,711.73x = 166,197,857,156.74
  5. Step 5: Solve for x
    x = 166,197,857,156.74/470,711.73
  6. Step 6: Final answer
    x = 353,077.79

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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.