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Finding the Fourth Proportional to 428,762.54, 591,688.26 and 235,166.31

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Solution

The fourth proportional to 428,762.54, 591,688.26 and 235,166.31 is: 324,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,762.54 : 591,688.26 = 235,166.31 : x
  2. Step 2: Convert to fraction form
    428,762.54/591,688.26 = 235,166.31/x
  3. Step 3: Cross multiply
    428,762.54x = 591,688.26 × 235,166.31
  4. Step 4: Simplify right side
    428,762.54x = 139,145,141,816.08
  5. Step 5: Solve for x
    x = 139,145,141,816.08/428,762.54
  6. Step 6: Final answer
    x = 324,527.28

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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.