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Finding the Fourth Proportional to 232,735.68, 320,980.32 and 143,156.16

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Solution

The fourth proportional to 232,735.68, 320,980.32 and 143,156.16 is: 197,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,735.68 : 320,980.32 = 143,156.16 : x
  2. Step 2: Convert to fraction form
    232,735.68/320,980.32 = 143,156.16/x
  3. Step 3: Cross multiply
    232,735.68x = 320,980.32 × 143,156.16
  4. Step 4: Simplify right side
    232,735.68x = 45,950,310,046.77
  5. Step 5: Solve for x
    x = 45,950,310,046.77/232,735.68
  6. Step 6: Final answer
    x = 197,435.61

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1.5x scale

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.