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Finding the Fourth Proportional to 421,006.70, 631,084.43 and 181,276.94

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Solution

The fourth proportional to 421,006.70, 631,084.43 and 181,276.94 is: 271,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,006.70 : 631,084.43 = 181,276.94 : x
  2. Step 2: Convert to fraction form
    421,006.70/631,084.43 = 181,276.94/x
  3. Step 3: Cross multiply
    421,006.70x = 631,084.43 × 181,276.94
  4. Step 4: Simplify right side
    421,006.70x = 114,401,051,196.62
  5. Step 5: Solve for x
    x = 114,401,051,196.62/421,006.70
  6. Step 6: Final answer
    x = 271,732.14

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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.