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Finding the Fourth Proportional to 407,126.86, 561,318.44 and 290,978.94

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Solution

The fourth proportional to 407,126.86, 561,318.44 and 290,978.94 is: 401,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,126.86 : 561,318.44 = 290,978.94 : x
  2. Step 2: Convert to fraction form
    407,126.86/561,318.44 = 290,978.94/x
  3. Step 3: Cross multiply
    407,126.86x = 561,318.44 × 290,978.94
  4. Step 4: Simplify right side
    407,126.86x = 163,331,844,673.65
  5. Step 5: Solve for x
    x = 163,331,844,673.65/407,126.86
  6. Step 6: Final answer
    x = 401,181.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.