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Finding the Fourth Proportional to 428,420.81, 591,220.72 and 237,462.91

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Solution

The fourth proportional to 428,420.81, 591,220.72 and 237,462.91 is: 327,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,420.81 : 591,220.72 = 237,462.91 : x
  2. Step 2: Convert to fraction form
    428,420.81/591,220.72 = 237,462.91/x
  3. Step 3: Cross multiply
    428,420.81x = 591,220.72 × 237,462.91
  4. Step 4: Simplify right side
    428,420.81x = 140,392,991,442.27
  5. Step 5: Solve for x
    x = 140,392,991,442.27/428,420.81
  6. Step 6: Final answer
    x = 327,698.81

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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.