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Finding the Fourth Proportional to 280,267.90, 420,146.70 and 102,732.10

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Solution

The fourth proportional to 280,267.90, 420,146.70 and 102,732.10 is: 154,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,267.90 : 420,146.70 = 102,732.10 : x
  2. Step 2: Convert to fraction form
    280,267.90/420,146.70 = 102,732.10/x
  3. Step 3: Cross multiply
    280,267.90x = 420,146.70 × 102,732.10
  4. Step 4: Simplify right side
    280,267.90x = 43,162,552,799.07
  5. Step 5: Solve for x
    x = 43,162,552,799.07/280,267.90
  6. Step 6: Final answer
    x = 154,004.62

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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.