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Finding the Fourth Proportional to 210,490.92, 315,785.69 and 143,962.38

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Solution

The fourth proportional to 210,490.92, 315,785.69 and 143,962.38 is: 215,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,490.92 : 315,785.69 = 143,962.38 : x
  2. Step 2: Convert to fraction form
    210,490.92/315,785.69 = 143,962.38/x
  3. Step 3: Cross multiply
    210,490.92x = 315,785.69 × 143,962.38
  4. Step 4: Simplify right side
    210,490.92x = 45,461,259,502.34
  5. Step 5: Solve for x
    x = 45,461,259,502.34/210,490.92
  6. Step 6: Final answer
    x = 215,977.29

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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.