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Finding the Fourth Proportional to 313,045.77, 469,470.11 and 102,634.50

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Solution

The fourth proportional to 313,045.77, 469,470.11 and 102,634.50 is: 153,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,045.77 : 469,470.11 = 102,634.50 : x
  2. Step 2: Convert to fraction form
    313,045.77/469,470.11 = 102,634.50/x
  3. Step 3: Cross multiply
    313,045.77x = 469,470.11 × 102,634.50
  4. Step 4: Simplify right side
    313,045.77x = 48,183,829,491.62
  5. Step 5: Solve for x
    x = 48,183,829,491.62/313,045.77
  6. Step 6: Final answer
    x = 153,919.44

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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.