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Finding the Fourth Proportional to 559,384.80, 839,077.20 and 259,765.80

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Solution

The fourth proportional to 559,384.80, 839,077.20 and 259,765.80 is: 389,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,384.80 : 839,077.20 = 259,765.80 : x
  2. Step 2: Convert to fraction form
    559,384.80/839,077.20 = 259,765.80/x
  3. Step 3: Cross multiply
    559,384.80x = 839,077.20 × 259,765.80
  4. Step 4: Simplify right side
    559,384.80x = 217,963,560,119.76
  5. Step 5: Solve for x
    x = 217,963,560,119.76/559,384.80
  6. Step 6: Final answer
    x = 389,648.70

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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.