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Finding the Fourth Proportional to 280,495.72, 420,752.09 and 109,710.62

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Solution

The fourth proportional to 280,495.72, 420,752.09 and 109,710.62 is: 164,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,495.72 : 420,752.09 = 109,710.62 : x
  2. Step 2: Convert to fraction form
    280,495.72/420,752.09 = 109,710.62/x
  3. Step 3: Cross multiply
    280,495.72x = 420,752.09 × 109,710.62
  4. Step 4: Simplify right side
    280,495.72x = 46,160,972,660.20
  5. Step 5: Solve for x
    x = 46,160,972,660.20/280,495.72
  6. Step 6: Final answer
    x = 164,569.26

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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.