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Finding the Fourth Proportional to 314,278.96, 471,415.92 and 208,138

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Solution

The fourth proportional to 314,278.96, 471,415.92 and 208,138 is: 312,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278.96 : 471,415.92 = 208,138 : x
  2. Step 2: Convert to fraction form
    314,278.96/471,415.92 = 208,138/x
  3. Step 3: Cross multiply
    314,278.96x = 471,415.92 × 208,138
  4. Step 4: Simplify right side
    314,278.96x = 98,119,566,756.96
  5. Step 5: Solve for x
    x = 98,119,566,756.96/314,278.96
  6. Step 6: Final answer
    x = 312,205.33

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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.