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Finding the Fourth Proportional to 340,286.70, 509,868.40 and 197,731.81

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Solution

The fourth proportional to 340,286.70, 509,868.40 and 197,731.81 is: 296,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,286.70 : 509,868.40 = 197,731.81 : x
  2. Step 2: Convert to fraction form
    340,286.70/509,868.40 = 197,731.81/x
  3. Step 3: Cross multiply
    340,286.70x = 509,868.40 × 197,731.81
  4. Step 4: Simplify right side
    340,286.70x = 100,817,201,593.80
  5. Step 5: Solve for x
    x = 100,817,201,593.80/340,286.70
  6. Step 6: Final answer
    x = 296,271.35

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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.