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Finding the Fourth Proportional to 314,187.31, 471,353.87 and 103,812.49

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Solution

The fourth proportional to 314,187.31, 471,353.87 and 103,812.49 is: 155,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,187.31 : 471,353.87 = 103,812.49 : x
  2. Step 2: Convert to fraction form
    314,187.31/471,353.87 = 103,812.49/x
  3. Step 3: Cross multiply
    314,187.31x = 471,353.87 × 103,812.49
  4. Step 4: Simplify right side
    314,187.31x = 48,932,418,915.84
  5. Step 5: Solve for x
    x = 48,932,418,915.84/314,187.31
  6. Step 6: Final answer
    x = 155,742.82

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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.