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Finding the Fourth Proportional to 428,914.80, 643,177.80 and 162,586.80

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Solution

The fourth proportional to 428,914.80, 643,177.80 and 162,586.80 is: 243,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,914.80 : 643,177.80 = 162,586.80 : x
  2. Step 2: Convert to fraction form
    428,914.80/643,177.80 = 162,586.80/x
  3. Step 3: Cross multiply
    428,914.80x = 643,177.80 × 162,586.80
  4. Step 4: Simplify right side
    428,914.80x = 104,572,220,333.04
  5. Step 5: Solve for x
    x = 104,572,220,333.04/428,914.80
  6. Step 6: Final answer
    x = 243,806.51

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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.