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Finding the Fourth Proportional to 537,864.60, 806,408.10 and 301,279.80

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Solution

The fourth proportional to 537,864.60, 806,408.10 and 301,279.80 is: 451,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,864.60 : 806,408.10 = 301,279.80 : x
  2. Step 2: Convert to fraction form
    537,864.60/806,408.10 = 301,279.80/x
  3. Step 3: Cross multiply
    537,864.60x = 806,408.10 × 301,279.80
  4. Step 4: Simplify right side
    537,864.60x = 242,954,471,086.38
  5. Step 5: Solve for x
    x = 242,954,471,086.38/537,864.60
  6. Step 6: Final answer
    x = 451,701.92

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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.