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Finding the Fourth Proportional to 398,964.96, 550,642.86 and 237,830.31

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Solution

The fourth proportional to 398,964.96, 550,642.86 and 237,830.31 is: 328,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,964.96 : 550,642.86 = 237,830.31 : x
  2. Step 2: Convert to fraction form
    398,964.96/550,642.86 = 237,830.31/x
  3. Step 3: Cross multiply
    398,964.96x = 550,642.86 × 237,830.31
  4. Step 4: Simplify right side
    398,964.96x = 130,959,562,093.09
  5. Step 5: Solve for x
    x = 130,959,562,093.09/398,964.96
  6. Step 6: Final answer
    x = 328,248.28

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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.