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Finding the Fourth Proportional to 405,086.66, 607,235.06 and 161,855.24

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Solution

The fourth proportional to 405,086.66, 607,235.06 and 161,855.24 is: 242,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,086.66 : 607,235.06 = 161,855.24 : x
  2. Step 2: Convert to fraction form
    405,086.66/607,235.06 = 161,855.24/x
  3. Step 3: Cross multiply
    405,086.66x = 607,235.06 × 161,855.24
  4. Step 4: Simplify right side
    405,086.66x = 98,284,176,372.71
  5. Step 5: Solve for x
    x = 98,284,176,372.71/405,086.66
  6. Step 6: Final answer
    x = 242,625.06

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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.