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Finding the Fourth Proportional to 316,509.39, 474,764.09 and 106,146.72

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Solution

The fourth proportional to 316,509.39, 474,764.09 and 106,146.72 is: 159,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,509.39 : 474,764.09 = 106,146.72 : x
  2. Step 2: Convert to fraction form
    316,509.39/474,764.09 = 106,146.72/x
  3. Step 3: Cross multiply
    316,509.39x = 474,764.09 × 106,146.72
  4. Step 4: Simplify right side
    316,509.39x = 50,394,650,396.55
  5. Step 5: Solve for x
    x = 50,394,650,396.55/316,509.39
  6. Step 6: Final answer
    x = 159,220.08

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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.