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Finding the Fourth Proportional to 470,742.94, 649,627.56 and 255,883

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Solution

The fourth proportional to 470,742.94, 649,627.56 and 255,883 is: 353,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,742.94 : 649,627.56 = 255,883 : x
  2. Step 2: Convert to fraction form
    470,742.94/649,627.56 = 255,883/x
  3. Step 3: Cross multiply
    470,742.94x = 649,627.56 × 255,883
  4. Step 4: Simplify right side
    470,742.94x = 166,228,648,935.48
  5. Step 5: Solve for x
    x = 166,228,648,935.48/470,742.94
  6. Step 6: Final answer
    x = 353,119.79

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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.