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Finding the Fourth Proportional to 543,689.64, 815,634.85 and 178,971.86

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Solution

The fourth proportional to 543,689.64, 815,634.85 and 178,971.86 is: 268,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,689.64 : 815,634.85 = 178,971.86 : x
  2. Step 2: Convert to fraction form
    543,689.64/815,634.85 = 178,971.86/x
  3. Step 3: Cross multiply
    543,689.64x = 815,634.85 × 178,971.86
  4. Step 4: Simplify right side
    543,689.64x = 145,975,686,185.32
  5. Step 5: Solve for x
    x = 145,975,686,185.32/543,689.64
  6. Step 6: Final answer
    x = 268,490.84

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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.