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Finding the Fourth Proportional to 314,284, 471,440.64 and 89,659.84

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Solution

The fourth proportional to 314,284, 471,440.64 and 89,659.84 is: 134,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,284 : 471,440.64 = 89,659.84 : x
  2. Step 2: Convert to fraction form
    314,284/471,440.64 = 89,659.84/x
  3. Step 3: Cross multiply
    314,284x = 471,440.64 × 89,659.84
  4. Step 4: Simplify right side
    314,284x = 42,269,292,351.90
  5. Step 5: Solve for x
    x = 42,269,292,351.90/314,284
  6. Step 6: Final answer
    x = 134,493.94

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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.