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Finding the Fourth Proportional to 313,875.80, 470,813.70 and 100,643.30

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Solution

The fourth proportional to 313,875.80, 470,813.70 and 100,643.30 is: 150,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,875.80 : 470,813.70 = 100,643.30 : x
  2. Step 2: Convert to fraction form
    313,875.80/470,813.70 = 100,643.30/x
  3. Step 3: Cross multiply
    313,875.80x = 470,813.70 × 100,643.30
  4. Step 4: Simplify right side
    313,875.80x = 47,384,244,453.21
  5. Step 5: Solve for x
    x = 47,384,244,453.21/313,875.80
  6. Step 6: Final answer
    x = 150,964.95

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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.