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Finding the Fourth Proportional to 316,511.88, 474,742.97 and 139,020.36

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Solution

The fourth proportional to 316,511.88, 474,742.97 and 139,020.36 is: 208,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,511.88 : 474,742.97 = 139,020.36 : x
  2. Step 2: Convert to fraction form
    316,511.88/474,742.97 = 139,020.36/x
  3. Step 3: Cross multiply
    316,511.88x = 474,742.97 × 139,020.36
  4. Step 4: Simplify right side
    316,511.88x = 65,998,938,596.87
  5. Step 5: Solve for x
    x = 65,998,938,596.87/316,511.88
  6. Step 6: Final answer
    x = 208,519.63

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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.