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Finding the Fourth Proportional to 520,674.50, 780,712.86 and 204,959.18

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Solution

The fourth proportional to 520,674.50, 780,712.86 and 204,959.18 is: 307,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,674.50 : 780,712.86 = 204,959.18 : x
  2. Step 2: Convert to fraction form
    520,674.50/780,712.86 = 204,959.18/x
  3. Step 3: Cross multiply
    520,674.50x = 780,712.86 × 204,959.18
  4. Step 4: Simplify right side
    520,674.50x = 160,014,267,601.06
  5. Step 5: Solve for x
    x = 160,014,267,601.06/520,674.50
  6. Step 6: Final answer
    x = 307,321.11

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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.