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Finding the Fourth Proportional to 313,145.40, 469,718.10 and 102,732.60

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Solution

The fourth proportional to 313,145.40, 469,718.10 and 102,732.60 is: 154,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,145.40 : 469,718.10 = 102,732.60 : x
  2. Step 2: Convert to fraction form
    313,145.40/469,718.10 = 102,732.60/x
  3. Step 3: Cross multiply
    313,145.40x = 469,718.10 × 102,732.60
  4. Step 4: Simplify right side
    313,145.40x = 48,255,361,680.06
  5. Step 5: Solve for x
    x = 48,255,361,680.06/313,145.40
  6. Step 6: Final answer
    x = 154,098.90

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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.