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Finding the Fourth Proportional to 268,693.38, 402,045.93 and 162,138.96

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Solution

The fourth proportional to 268,693.38, 402,045.93 and 162,138.96 is: 242,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,693.38 : 402,045.93 = 162,138.96 : x
  2. Step 2: Convert to fraction form
    268,693.38/402,045.93 = 162,138.96/x
  3. Step 3: Cross multiply
    268,693.38x = 402,045.93 × 162,138.96
  4. Step 4: Simplify right side
    268,693.38x = 65,187,308,962.43
  5. Step 5: Solve for x
    x = 65,187,308,962.43/268,693.38
  6. Step 6: Final answer
    x = 242,608.54

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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.