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Finding the Fourth Proportional to 537,853.60, 806,780.94 and 138,495.26

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Solution

The fourth proportional to 537,853.60, 806,780.94 and 138,495.26 is: 207,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,853.60 : 806,780.94 = 138,495.26 : x
  2. Step 2: Convert to fraction form
    537,853.60/806,780.94 = 138,495.26/x
  3. Step 3: Cross multiply
    537,853.60x = 806,780.94 × 138,495.26
  4. Step 4: Simplify right side
    537,853.60x = 111,735,336,048.34
  5. Step 5: Solve for x
    x = 111,735,336,048.34/537,853.60
  6. Step 6: Final answer
    x = 207,743.03

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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.