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Finding the Fourth Proportional to 397,996.20, 596,994.30 and 256,278.60

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Solution

The fourth proportional to 397,996.20, 596,994.30 and 256,278.60 is: 384,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,996.20 : 596,994.30 = 256,278.60 : x
  2. Step 2: Convert to fraction form
    397,996.20/596,994.30 = 256,278.60/x
  3. Step 3: Cross multiply
    397,996.20x = 596,994.30 × 256,278.60
  4. Step 4: Simplify right side
    397,996.20x = 152,996,863,411.98
  5. Step 5: Solve for x
    x = 152,996,863,411.98/397,996.20
  6. Step 6: Final answer
    x = 384,417.90

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1.5x scale

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.