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Finding the Fourth Proportional to 340,207.40, 510,092.40 and 140,607.20

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Solution

The fourth proportional to 340,207.40, 510,092.40 and 140,607.20 is: 210,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,207.40 : 510,092.40 = 140,607.20 : x
  2. Step 2: Convert to fraction form
    340,207.40/510,092.40 = 140,607.20/x
  3. Step 3: Cross multiply
    340,207.40x = 510,092.40 × 140,607.20
  4. Step 4: Simplify right side
    340,207.40x = 71,722,664,105.28
  5. Step 5: Solve for x
    x = 71,722,664,105.28/340,207.40
  6. Step 6: Final answer
    x = 210,820.41

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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.