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Finding the Fourth Proportional to 428,892.30, 643,144.05 and 162,564.30

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Solution

The fourth proportional to 428,892.30, 643,144.05 and 162,564.30 is: 243,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892.30 : 643,144.05 = 162,564.30 : x
  2. Step 2: Convert to fraction form
    428,892.30/643,144.05 = 162,564.30/x
  3. Step 3: Cross multiply
    428,892.30x = 643,144.05 × 162,564.30
  4. Step 4: Simplify right side
    428,892.30x = 104,552,262,287.42
  5. Step 5: Solve for x
    x = 104,552,262,287.42/428,892.30
  6. Step 6: Final answer
    x = 243,772.77

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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.