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Finding the Fourth Proportional to 431,698.94, 595,729.83 and 238,114.32

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Solution

The fourth proportional to 431,698.94, 595,729.83 and 238,114.32 is: 328,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,698.94 : 595,729.83 = 238,114.32 : x
  2. Step 2: Convert to fraction form
    431,698.94/595,729.83 = 238,114.32/x
  3. Step 3: Cross multiply
    431,698.94x = 595,729.83 × 238,114.32
  4. Step 4: Simplify right side
    431,698.94x = 141,851,805,510.44
  5. Step 5: Solve for x
    x = 141,851,805,510.44/431,698.94
  6. Step 6: Final answer
    x = 328,589.66

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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.