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Finding the Fourth Proportional to 475,865, 656,752.02 and 274,661

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Solution

The fourth proportional to 475,865, 656,752.02 and 274,661 is: 379,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,865 : 656,752.02 = 274,661 : x
  2. Step 2: Convert to fraction form
    475,865/656,752.02 = 274,661/x
  3. Step 3: Cross multiply
    475,865x = 656,752.02 × 274,661
  4. Step 4: Simplify right side
    475,865x = 180,384,166,565.22
  5. Step 5: Solve for x
    x = 180,384,166,565.22/475,865
  6. Step 6: Final answer
    x = 379,065.84

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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.