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Finding the Fourth Proportional to 280,282.83, 420,174.26 and 102,748.40

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Solution

The fourth proportional to 280,282.83, 420,174.26 and 102,748.40 is: 154,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,282.83 : 420,174.26 = 102,748.40 : x
  2. Step 2: Convert to fraction form
    280,282.83/420,174.26 = 102,748.40/x
  3. Step 3: Cross multiply
    280,282.83x = 420,174.26 × 102,748.40
  4. Step 4: Simplify right side
    280,282.83x = 43,172,232,936.18
  5. Step 5: Solve for x
    x = 43,172,232,936.18/280,282.83
  6. Step 6: Final answer
    x = 154,030.96

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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.