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Finding the Fourth Proportional to 405,164.92, 607,747.82 and 105,645.24

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Solution

The fourth proportional to 405,164.92, 607,747.82 and 105,645.24 is: 158,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,164.92 : 607,747.82 = 105,645.24 : x
  2. Step 2: Convert to fraction form
    405,164.92/607,747.82 = 105,645.24/x
  3. Step 3: Cross multiply
    405,164.92x = 607,747.82 × 105,645.24
  4. Step 4: Simplify right side
    405,164.92x = 64,205,664,303.38
  5. Step 5: Solve for x
    x = 64,205,664,303.38/405,164.92
  6. Step 6: Final answer
    x = 158,467.97

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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.