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Finding the Fourth Proportional to 403,878.40, 557,349.60 and 222,590.50

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Solution

The fourth proportional to 403,878.40, 557,349.60 and 222,590.50 is: 307,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,878.40 : 557,349.60 = 222,590.50 : x
  2. Step 2: Convert to fraction form
    403,878.40/557,349.60 = 222,590.50/x
  3. Step 3: Cross multiply
    403,878.40x = 557,349.60 × 222,590.50
  4. Step 4: Simplify right side
    403,878.40x = 124,060,726,138.80
  5. Step 5: Solve for x
    x = 124,060,726,138.80/403,878.40
  6. Step 6: Final answer
    x = 307,173.46

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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.