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Finding the Fourth Proportional to 313,079.40, 469,878.30 and 144,858.60

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Solution

The fourth proportional to 313,079.40, 469,878.30 and 144,858.60 is: 217,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,079.40 : 469,878.30 = 144,858.60 : x
  2. Step 2: Convert to fraction form
    313,079.40/469,878.30 = 144,858.60/x
  3. Step 3: Cross multiply
    313,079.40x = 469,878.30 × 144,858.60
  4. Step 4: Simplify right side
    313,079.40x = 68,065,912,708.38
  5. Step 5: Solve for x
    x = 68,065,912,708.38/313,079.40
  6. Step 6: Final answer
    x = 217,407.83

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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.