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Finding the Fourth Proportional to 340,256.40, 510,165.90 and 140,656.20

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Solution

The fourth proportional to 340,256.40, 510,165.90 and 140,656.20 is: 210,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,256.40 : 510,165.90 = 140,656.20 : x
  2. Step 2: Convert to fraction form
    340,256.40/510,165.90 = 140,656.20/x
  3. Step 3: Cross multiply
    340,256.40x = 510,165.90 × 140,656.20
  4. Step 4: Simplify right side
    340,256.40x = 71,757,996,863.58
  5. Step 5: Solve for x
    x = 71,757,996,863.58/340,256.40
  6. Step 6: Final answer
    x = 210,893.89

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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.