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Finding the Fourth Proportional to 809,206.60, 1,213,809.90 and 508,712.80

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Solution

The fourth proportional to 809,206.60, 1,213,809.90 and 508,712.80 is: 763,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,206.60 : 1,213,809.90 = 508,712.80 : x
  2. Step 2: Convert to fraction form
    809,206.60/1,213,809.90 = 508,712.80/x
  3. Step 3: Cross multiply
    809,206.60x = 1,213,809.90 × 508,712.80
  4. Step 4: Simplify right side
    809,206.60x = 617,480,632,896.72
  5. Step 5: Solve for x
    x = 617,480,632,896.72/809,206.60
  6. Step 6: Final answer
    x = 763,069.20

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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.