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Finding the Fourth Proportional to 290,189.16, 400,500.12 and 162,871.72

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Solution

The fourth proportional to 290,189.16, 400,500.12 and 162,871.72 is: 224,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,189.16 : 400,500.12 = 162,871.72 : x
  2. Step 2: Convert to fraction form
    290,189.16/400,500.12 = 162,871.72/x
  3. Step 3: Cross multiply
    290,189.16x = 400,500.12 × 162,871.72
  4. Step 4: Simplify right side
    290,189.16x = 65,230,143,404.61
  5. Step 5: Solve for x
    x = 65,230,143,404.61/290,189.16
  6. Step 6: Final answer
    x = 224,784.91

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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.