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Finding the Fourth Proportional to 297,436, 410,468.16 and 163,300

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Solution

The fourth proportional to 297,436, 410,468.16 and 163,300 is: 225,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,436 : 410,468.16 = 163,300 : x
  2. Step 2: Convert to fraction form
    297,436/410,468.16 = 163,300/x
  3. Step 3: Cross multiply
    297,436x = 410,468.16 × 163,300
  4. Step 4: Simplify right side
    297,436x = 67,029,450,528.00
  5. Step 5: Solve for x
    x = 67,029,450,528.00/297,436
  6. Step 6: Final answer
    x = 225,357.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.