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Finding the Fourth Proportional to 475,715.88, 656,482.50 and 274,507.56

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Solution

The fourth proportional to 475,715.88, 656,482.50 and 274,507.56 is: 378,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,715.88 : 656,482.50 = 274,507.56 : x
  2. Step 2: Convert to fraction form
    475,715.88/656,482.50 = 274,507.56/x
  3. Step 3: Cross multiply
    475,715.88x = 656,482.50 × 274,507.56
  4. Step 4: Simplify right side
    475,715.88x = 180,209,409,257.70
  5. Step 5: Solve for x
    x = 180,209,409,257.70/475,715.88
  6. Step 6: Final answer
    x = 378,817.31

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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.