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Finding the Fourth Proportional to 609,321.40, 914,069.58 and 209,855.32

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Solution

The fourth proportional to 609,321.40, 914,069.58 and 209,855.32 is: 314,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,321.40 : 914,069.58 = 209,855.32 : x
  2. Step 2: Convert to fraction form
    609,321.40/914,069.58 = 209,855.32/x
  3. Step 3: Cross multiply
    609,321.40x = 914,069.58 × 209,855.32
  4. Step 4: Simplify right side
    609,321.40x = 191,822,364,213.17
  5. Step 5: Solve for x
    x = 191,822,364,213.17/609,321.40
  6. Step 6: Final answer
    x = 314,813.11

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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.