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Finding the Fourth Proportional to 314,003.20, 471,078.30 and 103,640.93

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Solution

The fourth proportional to 314,003.20, 471,078.30 and 103,640.93 is: 155,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,003.20 : 471,078.30 = 103,640.93 : x
  2. Step 2: Convert to fraction form
    314,003.20/471,078.30 = 103,640.93/x
  3. Step 3: Cross multiply
    314,003.20x = 471,078.30 × 103,640.93
  4. Step 4: Simplify right side
    314,003.20x = 48,822,993,114.82
  5. Step 5: Solve for x
    x = 48,822,993,114.82/314,003.20
  6. Step 6: Final answer
    x = 155,485.65

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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.