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Finding the Fourth Proportional to 340,257.40, 510,167.40 and 140,657.20

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Solution

The fourth proportional to 340,257.40, 510,167.40 and 140,657.20 is: 210,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,257.40 : 510,167.40 = 140,657.20 : x
  2. Step 2: Convert to fraction form
    340,257.40/510,167.40 = 140,657.20/x
  3. Step 3: Cross multiply
    340,257.40x = 510,167.40 × 140,657.20
  4. Step 4: Simplify right side
    340,257.40x = 71,758,718,015.28
  5. Step 5: Solve for x
    x = 71,758,718,015.28/340,257.40
  6. Step 6: Final answer
    x = 210,895.39

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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.