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Finding the Fourth Proportional to 312,672, 431,487.36 and 178,536

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Solution

The fourth proportional to 312,672, 431,487.36 and 178,536 is: 246,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,672 : 431,487.36 = 178,536 : x
  2. Step 2: Convert to fraction form
    312,672/431,487.36 = 178,536/x
  3. Step 3: Cross multiply
    312,672x = 431,487.36 × 178,536
  4. Step 4: Simplify right side
    312,672x = 77,036,027,304.96
  5. Step 5: Solve for x
    x = 77,036,027,304.96/312,672
  6. Step 6: Final answer
    x = 246,379.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.