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Finding the Fourth Proportional to 289,943.86, 400,142.46 and 162,627.64

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Solution

The fourth proportional to 289,943.86, 400,142.46 and 162,627.64 is: 224,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,943.86 : 400,142.46 = 162,627.64 : x
  2. Step 2: Convert to fraction form
    289,943.86/400,142.46 = 162,627.64/x
  3. Step 3: Cross multiply
    289,943.86x = 400,142.46 × 162,627.64
  4. Step 4: Simplify right side
    289,943.86x = 65,074,223,933.59
  5. Step 5: Solve for x
    x = 65,074,223,933.59/289,943.86
  6. Step 6: Final answer
    x = 224,437.32

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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.