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Finding the Fourth Proportional to 313,305.30, 469,957.95 and 102,950.10

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Solution

The fourth proportional to 313,305.30, 469,957.95 and 102,950.10 is: 154,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.30 : 469,957.95 = 102,950.10 : x
  2. Step 2: Convert to fraction form
    313,305.30/469,957.95 = 102,950.10/x
  3. Step 3: Cross multiply
    313,305.30x = 469,957.95 × 102,950.10
  4. Step 4: Simplify right side
    313,305.30x = 48,382,217,948.30
  5. Step 5: Solve for x
    x = 48,382,217,948.30/313,305.30
  6. Step 6: Final answer
    x = 154,425.15

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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.