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Finding the Fourth Proportional to 405,162.91, 607,744.82 and 105,643.24

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Solution

The fourth proportional to 405,162.91, 607,744.82 and 105,643.24 is: 158,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,162.91 : 607,744.82 = 105,643.24 : x
  2. Step 2: Convert to fraction form
    405,162.91/607,744.82 = 105,643.24/x
  3. Step 3: Cross multiply
    405,162.91x = 607,744.82 × 105,643.24
  4. Step 4: Simplify right side
    405,162.91x = 64,204,130,622.76
  5. Step 5: Solve for x
    x = 64,204,130,622.76/405,162.91
  6. Step 6: Final answer
    x = 158,464.98

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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.