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Finding the Fourth Proportional to 428,011.60, 642,094.20 and 178,718.80

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Solution

The fourth proportional to 428,011.60, 642,094.20 and 178,718.80 is: 268,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,011.60 : 642,094.20 = 178,718.80 : x
  2. Step 2: Convert to fraction form
    428,011.60/642,094.20 = 178,718.80/x
  3. Step 3: Cross multiply
    428,011.60x = 642,094.20 × 178,718.80
  4. Step 4: Simplify right side
    428,011.60x = 114,754,304,910.96
  5. Step 5: Solve for x
    x = 114,754,304,910.96/428,011.60
  6. Step 6: Final answer
    x = 268,110.27

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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.