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Finding the Fourth Proportional to 313,008.80, 468,711.60 and 172,611.68

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Solution

The fourth proportional to 313,008.80, 468,711.60 and 172,611.68 is: 258,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,008.80 : 468,711.60 = 172,611.68 : x
  2. Step 2: Convert to fraction form
    313,008.80/468,711.60 = 172,611.68/x
  3. Step 3: Cross multiply
    313,008.80x = 468,711.60 × 172,611.68
  4. Step 4: Simplify right side
    313,008.80x = 80,905,096,711.49
  5. Step 5: Solve for x
    x = 80,905,096,711.49/313,008.80
  6. Step 6: Final answer
    x = 258,475.47

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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.