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Finding the Fourth Proportional to 314,512.81, 471,437 and 154,365.94

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Solution

The fourth proportional to 314,512.81, 471,437 and 154,365.94 is: 231,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,512.81 : 471,437 = 154,365.94 : x
  2. Step 2: Convert to fraction form
    314,512.81/471,437 = 154,365.94/x
  3. Step 3: Cross multiply
    314,512.81x = 471,437 × 154,365.94
  4. Step 4: Simplify right side
    314,512.81x = 72,773,815,655.78
  5. Step 5: Solve for x
    x = 72,773,815,655.78/314,512.81
  6. Step 6: Final answer
    x = 231,385.86

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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.