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Finding the Fourth Proportional to 476,326.20, 713,906.10 and 209,803.80

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Solution

The fourth proportional to 476,326.20, 713,906.10 and 209,803.80 is: 314,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,326.20 : 713,906.10 = 209,803.80 : x
  2. Step 2: Convert to fraction form
    476,326.20/713,906.10 = 209,803.80/x
  3. Step 3: Cross multiply
    476,326.20x = 713,906.10 × 209,803.80
  4. Step 4: Simplify right side
    476,326.20x = 149,780,212,623.18
  5. Step 5: Solve for x
    x = 149,780,212,623.18/476,326.20
  6. Step 6: Final answer
    x = 314,448.82

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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.