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Finding the Fourth Proportional to 290,189.12, 400,500.16 and 162,871.76

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Solution

The fourth proportional to 290,189.12, 400,500.16 and 162,871.76 is: 224,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,189.12 : 400,500.16 = 162,871.76 : x
  2. Step 2: Convert to fraction form
    290,189.12/400,500.16 = 162,871.76/x
  3. Step 3: Cross multiply
    290,189.12x = 400,500.16 × 162,871.76
  4. Step 4: Simplify right side
    290,189.12x = 65,230,165,939.48
  5. Step 5: Solve for x
    x = 65,230,165,939.48/290,189.12
  6. Step 6: Final answer
    x = 224,785.02

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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.