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Finding the Fourth Proportional to 314,187.30, 471,353.86 and 103,812.48

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Solution

The fourth proportional to 314,187.30, 471,353.86 and 103,812.48 is: 155,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,187.30 : 471,353.86 = 103,812.48 : x
  2. Step 2: Convert to fraction form
    314,187.30/471,353.86 = 103,812.48/x
  3. Step 3: Cross multiply
    314,187.30x = 471,353.86 × 103,812.48
  4. Step 4: Simplify right side
    314,187.30x = 48,932,413,164.17
  5. Step 5: Solve for x
    x = 48,932,413,164.17/314,187.30
  6. Step 6: Final answer
    x = 155,742.81

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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.