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Finding the Fourth Proportional to 340,252, 510,206.40 and 198,143.20

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Solution

The fourth proportional to 340,252, 510,206.40 and 198,143.20 is: 297,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,252 : 510,206.40 = 198,143.20 : x
  2. Step 2: Convert to fraction form
    340,252/510,206.40 = 198,143.20/x
  3. Step 3: Cross multiply
    340,252x = 510,206.40 × 198,143.20
  4. Step 4: Simplify right side
    340,252x = 101,093,928,756.48
  5. Step 5: Solve for x
    x = 101,093,928,756.48/340,252
  6. Step 6: Final answer
    x = 297,114.87

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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.