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Finding the Fourth Proportional to 475,278.17, 711,998.57 and 264,276.41

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Solution

The fourth proportional to 475,278.17, 711,998.57 and 264,276.41 is: 395,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,278.17 : 711,998.57 = 264,276.41 : x
  2. Step 2: Convert to fraction form
    475,278.17/711,998.57 = 264,276.41/x
  3. Step 3: Cross multiply
    475,278.17x = 711,998.57 × 264,276.41
  4. Step 4: Simplify right side
    475,278.17x = 188,164,423,105.43
  5. Step 5: Solve for x
    x = 188,164,423,105.43/475,278.17
  6. Step 6: Final answer
    x = 395,903.78

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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.