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Finding the Fourth Proportional to 431,871.25, 595,980.64 and 238,291

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Solution

The fourth proportional to 431,871.25, 595,980.64 and 238,291 is: 328,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,871.25 : 595,980.64 = 238,291 : x
  2. Step 2: Convert to fraction form
    431,871.25/595,980.64 = 238,291/x
  3. Step 3: Cross multiply
    431,871.25x = 595,980.64 × 238,291
  4. Step 4: Simplify right side
    431,871.25x = 142,016,822,686.24
  5. Step 5: Solve for x
    x = 142,016,822,686.24/431,871.25
  6. Step 6: Final answer
    x = 328,840.65

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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.