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Finding the Fourth Proportional to 228,580.80, 343,065.60 and 102,415.20

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Solution

The fourth proportional to 228,580.80, 343,065.60 and 102,415.20 is: 153,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,580.80 : 343,065.60 = 102,415.20 : x
  2. Step 2: Convert to fraction form
    228,580.80/343,065.60 = 102,415.20/x
  3. Step 3: Cross multiply
    228,580.80x = 343,065.60 × 102,415.20
  4. Step 4: Simplify right side
    228,580.80x = 35,135,132,037.12
  5. Step 5: Solve for x
    x = 35,135,132,037.12/228,580.80
  6. Step 6: Final answer
    x = 153,709.90

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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.