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Finding the Fourth Proportional to 520,197.38, 780,738.95 and 204,875.72

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Solution

The fourth proportional to 520,197.38, 780,738.95 and 204,875.72 is: 307,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,197.38 : 780,738.95 = 204,875.72 : x
  2. Step 2: Convert to fraction form
    520,197.38/780,738.95 = 204,875.72/x
  3. Step 3: Cross multiply
    520,197.38x = 780,738.95 × 204,875.72
  4. Step 4: Simplify right side
    520,197.38x = 159,954,454,049.56
  5. Step 5: Solve for x
    x = 159,954,454,049.56/520,197.38
  6. Step 6: Final answer
    x = 307,488.00

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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.