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Finding the Fourth Proportional to 311,424.98, 429,766.46 and 168,185.01

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Solution

The fourth proportional to 311,424.98, 429,766.46 and 168,185.01 is: 232,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,424.98 : 429,766.46 = 168,185.01 : x
  2. Step 2: Convert to fraction form
    311,424.98/429,766.46 = 168,185.01/x
  3. Step 3: Cross multiply
    311,424.98x = 429,766.46 × 168,185.01
  4. Step 4: Simplify right side
    311,424.98x = 72,280,275,531.84
  5. Step 5: Solve for x
    x = 72,280,275,531.84/311,424.98
  6. Step 6: Final answer
    x = 232,095.30

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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.