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Finding the Fourth Proportional to 314,354.75, 471,532.29 and 103,992.69

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Solution

The fourth proportional to 314,354.75, 471,532.29 and 103,992.69 is: 155,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354.75 : 471,532.29 = 103,992.69 : x
  2. Step 2: Convert to fraction form
    314,354.75/471,532.29 = 103,992.69/x
  3. Step 3: Cross multiply
    314,354.75x = 471,532.29 × 103,992.69
  4. Step 4: Simplify right side
    314,354.75x = 49,035,911,258.96
  5. Step 5: Solve for x
    x = 49,035,911,258.96/314,354.75
  6. Step 6: Final answer
    x = 155,989.09

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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.