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Finding the Fourth Proportional to 403,984.42, 557,473.46 and 222,686.98

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Solution

The fourth proportional to 403,984.42, 557,473.46 and 222,686.98 is: 307,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,984.42 : 557,473.46 = 222,686.98 : x
  2. Step 2: Convert to fraction form
    403,984.42/557,473.46 = 222,686.98/x
  3. Step 3: Cross multiply
    403,984.42x = 557,473.46 × 222,686.98
  4. Step 4: Simplify right side
    403,984.42x = 124,142,081,237.55
  5. Step 5: Solve for x
    x = 124,142,081,237.55/403,984.42
  6. Step 6: Final answer
    x = 307,294.23

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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.