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Finding the Fourth Proportional to 591,591.40, 887,943.90 and 311,309.80

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Solution

The fourth proportional to 591,591.40, 887,943.90 and 311,309.80 is: 467,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,591.40 : 887,943.90 = 311,309.80 : x
  2. Step 2: Convert to fraction form
    591,591.40/887,943.90 = 311,309.80/x
  3. Step 3: Cross multiply
    591,591.40x = 887,943.90 × 311,309.80
  4. Step 4: Simplify right side
    591,591.40x = 276,425,637,920.22
  5. Step 5: Solve for x
    x = 276,425,637,920.22/591,591.40
  6. Step 6: Final answer
    x = 467,257.70

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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.