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Finding the Fourth Proportional to 280,321.29, 420,537.32 and 102,829.84

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Solution

The fourth proportional to 280,321.29, 420,537.32 and 102,829.84 is: 154,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,321.29 : 420,537.32 = 102,829.84 : x
  2. Step 2: Convert to fraction form
    280,321.29/420,537.32 = 102,829.84/x
  3. Step 3: Cross multiply
    280,321.29x = 420,537.32 × 102,829.84
  4. Step 4: Simplify right side
    280,321.29x = 43,243,785,329.63
  5. Step 5: Solve for x
    x = 43,243,785,329.63/280,321.29
  6. Step 6: Final answer
    x = 154,265.08

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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.