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Finding the Fourth Proportional to 469,076, 703,614 and 206,420

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Solution

The fourth proportional to 469,076, 703,614 and 206,420 is: 309,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,076 : 703,614 = 206,420 : x
  2. Step 2: Convert to fraction form
    469,076/703,614 = 206,420/x
  3. Step 3: Cross multiply
    469,076x = 703,614 × 206,420
  4. Step 4: Simplify right side
    469,076x = 145,240,001,880
  5. Step 5: Solve for x
    x = 145,240,001,880/469,076
  6. Step 6: Final answer
    x = 309,630

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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.