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Finding the Fourth Proportional to 854,375.43, 1,178,991 and 472,377

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Solution

The fourth proportional to 854,375.43, 1,178,991 and 472,377 is: 651,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,375.43 : 1,178,991 = 472,377 : x
  2. Step 2: Convert to fraction form
    854,375.43/1,178,991 = 472,377/x
  3. Step 3: Cross multiply
    854,375.43x = 1,178,991 × 472,377
  4. Step 4: Simplify right side
    854,375.43x = 556,928,231,607
  5. Step 5: Solve for x
    x = 556,928,231,607/854,375.43
  6. Step 6: Final answer
    x = 651,854.22

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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.