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Finding the Fourth Proportional to 829,878, 1,244,818.08 and 230,839.20

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Solution

The fourth proportional to 829,878, 1,244,818.08 and 230,839.20 is: 346,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,878 : 1,244,818.08 = 230,839.20 : x
  2. Step 2: Convert to fraction form
    829,878/1,244,818.08 = 230,839.20/x
  3. Step 3: Cross multiply
    829,878x = 1,244,818.08 × 230,839.20
  4. Step 4: Simplify right side
    829,878x = 287,352,809,732.74
  5. Step 5: Solve for x
    x = 287,352,809,732.74/829,878
  6. Step 6: Final answer
    x = 346,259.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.