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Finding the Fourth Proportional to 314,756.82, 471,765.60 and 145,921.77

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Solution

The fourth proportional to 314,756.82, 471,765.60 and 145,921.77 is: 218,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,756.82 : 471,765.60 = 145,921.77 : x
  2. Step 2: Convert to fraction form
    314,756.82/471,765.60 = 145,921.77/x
  3. Step 3: Cross multiply
    314,756.82x = 471,765.60 × 145,921.77
  4. Step 4: Simplify right side
    314,756.82x = 68,840,871,377.11
  5. Step 5: Solve for x
    x = 68,840,871,377.11/314,756.82
  6. Step 6: Final answer
    x = 218,711.29

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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.