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Finding the Fourth Proportional to 431,411.84, 647,326.88 and 175,238.08

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Solution

The fourth proportional to 431,411.84, 647,326.88 and 175,238.08 is: 262,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,411.84 : 647,326.88 = 175,238.08 : x
  2. Step 2: Convert to fraction form
    431,411.84/647,326.88 = 175,238.08/x
  3. Step 3: Cross multiply
    431,411.84x = 647,326.88 × 175,238.08
  4. Step 4: Simplify right side
    431,411.84x = 113,436,319,583.59
  5. Step 5: Solve for x
    x = 113,436,319,583.59/431,411.84
  6. Step 6: Final answer
    x = 262,942.06

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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.