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Finding the Fourth Proportional to 474,099.71, 711,130.59 and 261,289.49

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Solution

The fourth proportional to 474,099.71, 711,130.59 and 261,289.49 is: 391,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,099.71 : 711,130.59 = 261,289.49 : x
  2. Step 2: Convert to fraction form
    474,099.71/711,130.59 = 261,289.49/x
  3. Step 3: Cross multiply
    474,099.71x = 711,130.59 × 261,289.49
  4. Step 4: Simplify right side
    474,099.71x = 185,810,945,628.85
  5. Step 5: Solve for x
    x = 185,810,945,628.85/474,099.71
  6. Step 6: Final answer
    x = 391,923.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.