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Finding the Fourth Proportional to 307,871.79, 461,953.88 and 213,247.59

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Solution

The fourth proportional to 307,871.79, 461,953.88 and 213,247.59 is: 319,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,871.79 : 461,953.88 = 213,247.59 : x
  2. Step 2: Convert to fraction form
    307,871.79/461,953.88 = 213,247.59/x
  3. Step 3: Cross multiply
    307,871.79x = 461,953.88 × 213,247.59
  4. Step 4: Simplify right side
    307,871.79x = 98,510,550,801.78
  5. Step 5: Solve for x
    x = 98,510,550,801.78/307,871.79
  6. Step 6: Final answer
    x = 319,972.65

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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.