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Finding the Fourth Proportional to 428,458.95, 642,744.32 and 158,550.35

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Solution

The fourth proportional to 428,458.95, 642,744.32 and 158,550.35 is: 237,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,458.95 : 642,744.32 = 158,550.35 : x
  2. Step 2: Convert to fraction form
    428,458.95/642,744.32 = 158,550.35/x
  3. Step 3: Cross multiply
    428,458.95x = 642,744.32 × 158,550.35
  4. Step 4: Simplify right side
    428,458.95x = 101,907,332,890.04
  5. Step 5: Solve for x
    x = 101,907,332,890.04/428,458.95
  6. Step 6: Final answer
    x = 237,846.20

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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.