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Finding the Fourth Proportional to 280,283.84, 420,175.76 and 102,749.40

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Solution

The fourth proportional to 280,283.84, 420,175.76 and 102,749.40 is: 154,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,283.84 : 420,175.76 = 102,749.40 : x
  2. Step 2: Convert to fraction form
    280,283.84/420,175.76 = 102,749.40/x
  3. Step 3: Cross multiply
    280,283.84x = 420,175.76 × 102,749.40
  4. Step 4: Simplify right side
    280,283.84x = 43,172,807,234.54
  5. Step 5: Solve for x
    x = 43,172,807,234.54/280,283.84
  6. Step 6: Final answer
    x = 154,032.45

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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.