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Finding the Fourth Proportional to 475,781, 656,577.78 and 263,813

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Solution

The fourth proportional to 475,781, 656,577.78 and 263,813 is: 364,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,781 : 656,577.78 = 263,813 : x
  2. Step 2: Convert to fraction form
    475,781/656,577.78 = 263,813/x
  3. Step 3: Cross multiply
    475,781x = 656,577.78 × 263,813
  4. Step 4: Simplify right side
    475,781x = 173,213,753,875.14
  5. Step 5: Solve for x
    x = 173,213,753,875.14/475,781
  6. Step 6: Final answer
    x = 364,061.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.