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Finding the Fourth Proportional to 505,164.92, 756,670.03 and 408,688.13

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Solution

The fourth proportional to 505,164.92, 756,670.03 and 408,688.13 is: 612,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,164.92 : 756,670.03 = 408,688.13 : x
  2. Step 2: Convert to fraction form
    505,164.92/756,670.03 = 408,688.13/x
  3. Step 3: Cross multiply
    505,164.92x = 756,670.03 × 408,688.13
  4. Step 4: Simplify right side
    505,164.92x = 309,242,060,457.70
  5. Step 5: Solve for x
    x = 309,242,060,457.70/505,164.92
  6. Step 6: Final answer
    x = 612,160.61

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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.