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Finding the Fourth Proportional to 418,731.48, 627,844.32 and 187,878.30

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Solution

The fourth proportional to 418,731.48, 627,844.32 and 187,878.30 is: 281,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,731.48 : 627,844.32 = 187,878.30 : x
  2. Step 2: Convert to fraction form
    418,731.48/627,844.32 = 187,878.30/x
  3. Step 3: Cross multiply
    418,731.48x = 627,844.32 × 187,878.30
  4. Step 4: Simplify right side
    418,731.48x = 117,958,323,506.26
  5. Step 5: Solve for x
    x = 117,958,323,506.26/418,731.48
  6. Step 6: Final answer
    x = 281,703.98

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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.