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Finding the Fourth Proportional to 428,181.76, 590,924.16 and 237,212.80

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Solution

The fourth proportional to 428,181.76, 590,924.16 and 237,212.80 is: 327,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,181.76 : 590,924.16 = 237,212.80 : x
  2. Step 2: Convert to fraction form
    428,181.76/590,924.16 = 237,212.80/x
  3. Step 3: Cross multiply
    428,181.76x = 590,924.16 × 237,212.80
  4. Step 4: Simplify right side
    428,181.76x = 140,174,774,581.25
  5. Step 5: Solve for x
    x = 140,174,774,581.25/428,181.76
  6. Step 6: Final answer
    x = 327,372.13

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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.