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Finding the Fourth Proportional to 405,273.30, 607,910.43 and 105,753.66

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Solution

The fourth proportional to 405,273.30, 607,910.43 and 105,753.66 is: 158,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,273.30 : 607,910.43 = 105,753.66 : x
  2. Step 2: Convert to fraction form
    405,273.30/607,910.43 = 105,753.66/x
  3. Step 3: Cross multiply
    405,273.30x = 607,910.43 × 105,753.66
  4. Step 4: Simplify right side
    405,273.30x = 64,288,752,924.67
  5. Step 5: Solve for x
    x = 64,288,752,924.67/405,273.30
  6. Step 6: Final answer
    x = 158,630.62

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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.