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Finding the Fourth Proportional to 521,855.10, 782,535.90 and 202,156.71

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Solution

The fourth proportional to 521,855.10, 782,535.90 and 202,156.71 is: 303,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,855.10 : 782,535.90 = 202,156.71 : x
  2. Step 2: Convert to fraction form
    521,855.10/782,535.90 = 202,156.71/x
  3. Step 3: Cross multiply
    521,855.10x = 782,535.90 × 202,156.71
  4. Step 4: Simplify right side
    521,855.10x = 158,194,883,000.89
  5. Step 5: Solve for x
    x = 158,194,883,000.89/521,855.10
  6. Step 6: Final answer
    x = 303,139.48

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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.