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Finding the Fourth Proportional to 313,071.40, 469,563.18 and 102,682

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Solution

The fourth proportional to 313,071.40, 469,563.18 and 102,682 is: 154,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,071.40 : 469,563.18 = 102,682 : x
  2. Step 2: Convert to fraction form
    313,071.40/469,563.18 = 102,682/x
  3. Step 3: Cross multiply
    313,071.40x = 469,563.18 × 102,682
  4. Step 4: Simplify right side
    313,071.40x = 48,215,686,448.76
  5. Step 5: Solve for x
    x = 48,215,686,448.76/313,071.40
  6. Step 6: Final answer
    x = 154,008.60

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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.