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Finding the Fourth Proportional to 210,863.70, 315,945.63 and 148,402.98

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Solution

The fourth proportional to 210,863.70, 315,945.63 and 148,402.98 is: 222,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,863.70 : 315,945.63 = 148,402.98 : x
  2. Step 2: Convert to fraction form
    210,863.70/315,945.63 = 148,402.98/x
  3. Step 3: Cross multiply
    210,863.70x = 315,945.63 × 148,402.98
  4. Step 4: Simplify right side
    210,863.70x = 46,887,273,009.98
  5. Step 5: Solve for x
    x = 46,887,273,009.98/210,863.70
  6. Step 6: Final answer
    x = 222,358.20

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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.