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Finding the Fourth Proportional to 311,425.98, 429,767.83 and 168,186.01

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Solution

The fourth proportional to 311,425.98, 429,767.83 and 168,186.01 is: 232,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,425.98 : 429,767.83 = 168,186.01 : x
  2. Step 2: Convert to fraction form
    311,425.98/429,767.83 = 168,186.01/x
  3. Step 3: Cross multiply
    311,425.98x = 429,767.83 × 168,186.01
  4. Step 4: Simplify right side
    311,425.98x = 72,280,936,554.06
  5. Step 5: Solve for x
    x = 72,280,936,554.06/311,425.98
  6. Step 6: Final answer
    x = 232,096.68

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1.5x scale

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.