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Finding the Fourth Proportional to 539,685.72, 809,380.76 and 202,700.32

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Solution

The fourth proportional to 539,685.72, 809,380.76 and 202,700.32 is: 303,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,685.72 : 809,380.76 = 202,700.32 : x
  2. Step 2: Convert to fraction form
    539,685.72/809,380.76 = 202,700.32/x
  3. Step 3: Cross multiply
    539,685.72x = 809,380.76 × 202,700.32
  4. Step 4: Simplify right side
    539,685.72x = 164,061,739,053.84
  5. Step 5: Solve for x
    x = 164,061,739,053.84/539,685.72
  6. Step 6: Final answer
    x = 303,994.96

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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.