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Finding the Fourth Proportional to 314,274.96, 471,409.92 and 208,134

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Solution

The fourth proportional to 314,274.96, 471,409.92 and 208,134 is: 312,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,274.96 : 471,409.92 = 208,134 : x
  2. Step 2: Convert to fraction form
    314,274.96/471,409.92 = 208,134/x
  3. Step 3: Cross multiply
    314,274.96x = 471,409.92 × 208,134
  4. Step 4: Simplify right side
    314,274.96x = 98,116,432,289.28
  5. Step 5: Solve for x
    x = 98,116,432,289.28/314,274.96
  6. Step 6: Final answer
    x = 312,199.33

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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.