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Finding the Fourth Proportional to 537,907.80, 806,861.70 and 163,930.20

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Solution

The fourth proportional to 537,907.80, 806,861.70 and 163,930.20 is: 245,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,907.80 : 806,861.70 = 163,930.20 : x
  2. Step 2: Convert to fraction form
    537,907.80/806,861.70 = 163,930.20/x
  3. Step 3: Cross multiply
    537,907.80x = 806,861.70 × 163,930.20
  4. Step 4: Simplify right side
    537,907.80x = 132,268,999,853.34
  5. Step 5: Solve for x
    x = 132,268,999,853.34/537,907.80
  6. Step 6: Final answer
    x = 245,895.30

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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.