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Finding the Fourth Proportional to 245,892.20, 368,384.70 and 140,397.80

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Solution

The fourth proportional to 245,892.20, 368,384.70 and 140,397.80 is: 210,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,892.20 : 368,384.70 = 140,397.80 : x
  2. Step 2: Convert to fraction form
    245,892.20/368,384.70 = 140,397.80/x
  3. Step 3: Cross multiply
    245,892.20x = 368,384.70 × 140,397.80
  4. Step 4: Simplify right side
    245,892.20x = 51,720,401,433.66
  5. Step 5: Solve for x
    x = 51,720,401,433.66/245,892.20
  6. Step 6: Final answer
    x = 210,337.71

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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.